Find the value of x that satisfies the proportion: (2x) : 25 = 6 : (x/3).

Explanation

Starting with the proportion (2x)/25 = 6/(x/3), rewrite the right side as 6 ÷ (x/3) = 18/x. Cross-multiplying gives 2x * x = 18 * 25, which simplifies to x² = 450. Taking the positive square root, x = 15.