There doesn't seem to be a good answer for this problem. The original model that the modern university emulates is that a nucleus of scholars in a location have drawn students to them, willing to learn.

These days it doesn't quite work like that; lots of kids are there to punch their ticket. Ticket-punchers aren't motivated to do any more than the minimum. So yes, perhaps I've overlooked the other half of the equation.

A friend of mine is a teacher and I moonlight as an Olympic-style weightlifting coach. I once enthused to him that I could see the allure of teaching. He sighed heavily, then pointed out that my trainees want to learn. Of course I enjoyed it.