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Finding the Third Proportional to 37,849 and 81,472

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Solution

The third proportional to 37,849 and 81,472 is: 175,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,849 : 81,472 = 81,472 : x
  2. Step 2: Convert to fraction form
    37,849/81,472 = 81,472/x
  3. Step 3: Cross multiply
    37,849x = 81,472 × 81,472
  4. Step 4: Simplify right side
    37,849x = 6,637,686,784
  5. Step 5: Solve for x
    x = 6,637,686,784/37,849
  6. Step 6: Final answer
    x = 175,372.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.