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Finding the Third Proportional to 47,716 and 71,897

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Solution

The third proportional to 47,716 and 71,897 is: 108,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,716 : 71,897 = 71,897 : x
  2. Step 2: Convert to fraction form
    47,716/71,897 = 71,897/x
  3. Step 3: Cross multiply
    47,716x = 71,897 × 71,897
  4. Step 4: Simplify right side
    47,716x = 5,169,178,609
  5. Step 5: Solve for x
    x = 5,169,178,609/47,716
  6. Step 6: Final answer
    x = 108,332.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.