Finding the Third Proportional to 20,478 and 31,326
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Solution
The third proportional to 20,478 and 31,326 is: 47,920.61
Step by Step Solution
- Step 1: Write the proportion equation
20,478 : 31,326 = 31,326 : x - Step 2: Convert to fraction form
20,478/31,326 = 31,326/x - Step 3: Cross multiply
20,478x = 31,326 × 31,326 - Step 4: Simplify right side
20,478x = 981,318,276 - Step 5: Solve for x
x = 981,318,276/20,478 - Step 6: Final answer
x = 47,920.61
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.