Finding the Third Proportional to 31,882 and 62,948
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Solution
The third proportional to 31,882 and 62,948 is: 124,284.89
Step by Step Solution
- Step 1: Write the proportion equation
31,882 : 62,948 = 62,948 : x - Step 2: Convert to fraction form
31,882/62,948 = 62,948/x - Step 3: Cross multiply
31,882x = 62,948 × 62,948 - Step 4: Simplify right side
31,882x = 3,962,450,704 - Step 5: Solve for x
x = 3,962,450,704/31,882 - Step 6: Final answer
x = 124,284.89
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.