Maybe not 25, especially an attractive one....
However, I gave exclusivity to an attractive 22 year old one last month after she gave her virginity up to me. She also has solid familial relationships and aspires to go to graduate school next year.
I would have not even considered giving exclusivity if not for the fact she was both a virgin AND had a great upbringing & relationship with her parents.
Given my career aspirations in the near future, I was at a point in my life where I didn't even want another relationship for years. Ironically, when I internally accepted I wasn't settling down until at least my early 30s (I'm 27), this opportunity presented itself and I eventually decided it would be foolish & overly cynical not to give it a shot...
I was casually dating two women (plates) when I began dating the virgin, and I used the plates for sex while I built rapport, comfort, and trust with the virgin. She's a genuinely good person, so I didn't want to take her virginity just to take it if I knew I had no intentions of allowing anything more to possibly develop. I dated her for a little over a month when we brought up the exclusivity conversation and we discussed a few days later what that would look like. I took her virginity the following weekend.
After that weekend I let my plates go, which admittedly was tougher than I thought... not because I like liked the plates, but because getting rid of my current options put me in a position where I'm more susceptible to pedestalize the virgin and develop one-nitus. As another poster mentioned, at least with a virgin their naivety allows more margin for error when it comes to relationship game.
I am fortunate that a lot of the groundwork for this to happen had been inadvertently laid. I knew of her for over a year through social circle, in which rapport, comfort, and trust began to build before we even started dating. She still lives with her parents (one of whom I actually knew and had rapport with before her) who she's close with, plays sports, is school-focused, and she doesn't party -- all positive factors I considered before LTRing her.
I just share this to suggest that virgins are out there, and they are attainable. Are we likely to find one whose attractive enough to you, had a healthy upbringing, AND is interested in you? Probably not.