Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1 - Page 148: 25

$x=\dfrac{15}{2}$

Using cross-multiplication and the properties of equality, the value of the variable that satisfies the given equation, $ \dfrac{x}{3}=\dfrac{5}{2} ,$ is \begin{array}{l}\require{cancel} x(2)=3(5) \\\\ 2x=15 \\\\ x=\dfrac{15}{2} .\end{array}