Fill in the blank so that the ratios are equivalent. 26 and 8

To find a number that makes the ratios equivalent, we can set up the ratio of 26 to 8 and compare it to the ratio of 26 to the unknown number \( x \). The ratio can be expressed as: \[ \frac{26}{8} = \frac{26}{x} \] To find \( x \), we can cross-multiply: \[ 26 \cdot x = 26 \cdot 8 \] This simplifies to: \[ 26x = 208 \] Now, divide both sides by 26: \[ x = \frac{208}{26} = 8 \] Thus, the blank can be filled with **8** to maintain the equivalent ratio. So, the equivalent ratios are: \[ \frac{26}{8} = \frac{26}{8} \]