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Finding the Third Proportional to 42,642 and 63,801

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Solution

The third proportional to 42,642 and 63,801 is: 95,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,642 : 63,801 = 63,801 : x
  2. Step 2: Convert to fraction form
    42,642/63,801 = 63,801/x
  3. Step 3: Cross multiply
    42,642x = 63,801 × 63,801
  4. Step 4: Simplify right side
    42,642x = 4,070,567,601
  5. Step 5: Solve for x
    x = 4,070,567,601/42,642
  6. Step 6: Final answer
    x = 95,459.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.