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Finding the Third Proportional to 37,042 and 57,372

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Solution

The third proportional to 37,042 and 57,372 is: 88,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,042 : 57,372 = 57,372 : x
  2. Step 2: Convert to fraction form
    37,042/57,372 = 57,372/x
  3. Step 3: Cross multiply
    37,042x = 57,372 × 57,372
  4. Step 4: Simplify right side
    37,042x = 3,291,546,384
  5. Step 5: Solve for x
    x = 3,291,546,384/37,042
  6. Step 6: Final answer
    x = 88,859.85

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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.