Many years ago, the towns of Franklin and Chester agreed to begin posting their populations on signs just outside of their towns. They also agreed to update their signs once per year at the beginning of the year. During year 1ranklin's sign read " Franklin: Population of 20,000\text{Franklin: Population of } 20{,}000 Franklin: Population of 20,000 start text, F, r, a, n, k, l, i, n, colon, space, P, o, p, u, l, a, t, i, o, n, space, o, f, space, end text, 20, comma, 000 ", while Chester's sign read " Chester: Population of 25,000\text{Chester: Population of } 25{,}000 Chester: Population of 25,000 start text, C, h, e, s, t, e, r, colon, space, P, o, p, u, l, a, t, i, o, n, space, o, f, space, ". Each year, the populations grew ". Each year, the populations grew. Specifically, Franklin's population grew by each year, and Chester's population grew by people each year. What is the first year in which Franklin's sign shows a larger number than Chester's sign?