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Finding the Third Proportional to 54,940 and 62,716

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Solution

The third proportional to 54,940 and 62,716 is: 71,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,940 : 62,716 = 62,716 : x
  2. Step 2: Convert to fraction form
    54,940/62,716 = 62,716/x
  3. Step 3: Cross multiply
    54,940x = 62,716 × 62,716
  4. Step 4: Simplify right side
    54,940x = 3,933,296,656
  5. Step 5: Solve for x
    x = 3,933,296,656/54,940
  6. Step 6: Final answer
    x = 71,592.59

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.