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Finding the Third Proportional to 38,913 and 60,801

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Solution

The third proportional to 38,913 and 60,801 is: 95,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,913 : 60,801 = 60,801 : x
  2. Step 2: Convert to fraction form
    38,913/60,801 = 60,801/x
  3. Step 3: Cross multiply
    38,913x = 60,801 × 60,801
  4. Step 4: Simplify right side
    38,913x = 3,696,761,601
  5. Step 5: Solve for x
    x = 3,696,761,601/38,913
  6. Step 6: Final answer
    x = 95,000.68

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.