Finding the Third Proportional to 13,232 and 20,470
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Solution
The third proportional to 13,232 and 20,470 is: 31,667.24
Step by Step Solution
- Step 1: Write the proportion equation
13,232 : 20,470 = 20,470 : x - Step 2: Convert to fraction form
13,232/20,470 = 20,470/x - Step 3: Cross multiply
13,232x = 20,470 × 20,470 - Step 4: Simplify right side
13,232x = 419,020,900 - Step 5: Solve for x
x = 419,020,900/13,232 - Step 6: Final answer
x = 31,667.24
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.