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Finding the Third Proportional to 37,414 and 75,872

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Solution

The third proportional to 37,414 and 75,872 is: 153,861.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,414 : 75,872 = 75,872 : x
  2. Step 2: Convert to fraction form
    37,414/75,872 = 75,872/x
  3. Step 3: Cross multiply
    37,414x = 75,872 × 75,872
  4. Step 4: Simplify right side
    37,414x = 5,756,560,384
  5. Step 5: Solve for x
    x = 5,756,560,384/37,414
  6. Step 6: Final answer
    x = 153,861.13

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.