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Finding the Third Proportional to 39,481 and 53,601

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Solution

The third proportional to 39,481 and 53,601 is: 72,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,481 : 53,601 = 53,601 : x
  2. Step 2: Convert to fraction form
    39,481/53,601 = 53,601/x
  3. Step 3: Cross multiply
    39,481x = 53,601 × 53,601
  4. Step 4: Simplify right side
    39,481x = 2,873,067,201
  5. Step 5: Solve for x
    x = 2,873,067,201/39,481
  6. Step 6: Final answer
    x = 72,770.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.