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Finding the Third Proportional to 42,739 and 66,349

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Solution

The third proportional to 42,739 and 66,349 is: 103,001.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,739 : 66,349 = 66,349 : x
  2. Step 2: Convert to fraction form
    42,739/66,349 = 66,349/x
  3. Step 3: Cross multiply
    42,739x = 66,349 × 66,349
  4. Step 4: Simplify right side
    42,739x = 4,402,189,801
  5. Step 5: Solve for x
    x = 4,402,189,801/42,739
  6. Step 6: Final answer
    x = 103,001.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.