1. **Stating the problem:** Understand that equivalent ratios are two ratios that express the same relationship between numbers. 2. **Example 1:** Is $\frac{2}{3}$ equivalent to $\frac{4}{6}$? Multiply crosswise: $2 \times 6 = 12$ and $3 \times 4 = 12$. Since both products are equal, these ratios are equivalent. 3. **Example 2:** Find a number $x$ such that $\frac{5}{x} = \frac{10}{12}$. Cross multiply: $5 \times 12 = 10 \times x$ which simplifies to $60 = 10x$. Solve for $x$: $x = \frac{60}{10} = 6$. 4. **Example 3:** Simplify the ratio $18:24$. Find the greatest common divisor (GCD) of $18$ and $24$, which is $6$. Divide both terms by $6$: $\frac{18}{6}:\frac{24}{6} = 3:4$. So, $18:24$ is equivalent to $3:4$. 5. **Summary:** Equivalent ratios have equal cross products. To find missing terms, use cross multiplication and solve the resulting equation. This worksheet supports understanding and practicing the concept of equivalent ratios through examples and problem-solving.