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Finding the Third Proportional to 37,750 and 102,692

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Solution

The third proportional to 37,750 and 102,692 is: 279,354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,750 : 102,692 = 102,692 : x
  2. Step 2: Convert to fraction form
    37,750/102,692 = 102,692/x
  3. Step 3: Cross multiply
    37,750x = 102,692 × 102,692
  4. Step 4: Simplify right side
    37,750x = 10,545,646,864
  5. Step 5: Solve for x
    x = 10,545,646,864/37,750
  6. Step 6: Final answer
    x = 279,354.88

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.