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Finding the Third Proportional to 37,392 and 82,374

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Solution

The third proportional to 37,392 and 82,374 is: 181,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,392 : 82,374 = 82,374 : x
  2. Step 2: Convert to fraction form
    37,392/82,374 = 82,374/x
  3. Step 3: Cross multiply
    37,392x = 82,374 × 82,374
  4. Step 4: Simplify right side
    37,392x = 6,785,475,876
  5. Step 5: Solve for x
    x = 6,785,475,876/37,392
  6. Step 6: Final answer
    x = 181,468.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.