Give the value of \( x \) for each of these equivalent \( 3: 8 \rightarrow x: 24 \)

To find the value of \( x \) in the equivalent ratio \( 3: 8 \rightarrow x: 24 \), we can set up a proportion: \[ \frac{3}{8} = \frac{x}{24} \] Cross-multiplying gives us: \[ 3 \times 24 = 8 \times x \] Which simplifies to: \[ 72 = 8x \] Now, divide both sides by 8 to solve for \( x \): \[ x = \frac{72}{8} = 9 \] So, the value of \( x \) is \( 9 \).