izrastati

1. (izrastati u + acc.) to grow into; to develop into
   Novi Sad izrasta u važan kulturni centar. — Novi Sad is growing into an important cultural centre.
   Iz ovog malog kluba izrastaju veliki igrači. — Great players grow up in this little club.
2. (of plants, hair) to grow; to sprout
   Između ploča na trotoaru izrasta trava. — Grass is sprouting between the paving stones.

The perfective is izrasti; "to become something" is expressed with izrastati u + acc.