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Finding the Third Proportional to 37,542 and 79,866

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Solution

The third proportional to 37,542 and 79,866 is: 169,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,542 : 79,866 = 79,866 : x
  2. Step 2: Convert to fraction form
    37,542/79,866 = 79,866/x
  3. Step 3: Cross multiply
    37,542x = 79,866 × 79,866
  4. Step 4: Simplify right side
    37,542x = 6,378,577,956
  5. Step 5: Solve for x
    x = 6,378,577,956/37,542
  6. Step 6: Final answer
    x = 169,905.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.