Do the ratios \( \frac{33}{55} \) and \( \frac{3}{5} \) form a proportion? yes no Submit

To determine if the ratios \( \frac{33}{55} \) and \( \frac{3}{5} \) form a proportion, we need to check if they are equivalent. Two ratios \( \frac{a}{b} \) and \( \frac{c}{d} \) form a proportion if \( a \cdot d = b \cdot c \). Let's calculate: 1. \( a = 33 \), \( b = 55 \), \( c = 3 \), \( d = 5 \). 2. Calculate \( a \cdot d \) and \( b \cdot c \): \[ a \cdot d = 33 \cdot 5 \] \[ b \cdot c = 55 \cdot 3 \] Now, let's perform the calculations: \[ 33 \cdot 5 = 165 \] \[ 55 \cdot 3 = 165 \] Since \( a \cdot d = b \cdot c \) (both equal to 165), the ratios \( \frac{33}{55} \) and \( \frac{3}{5} \) do indeed form a proportion. The answer is **yes**.