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Finding the Third Proportional to 37,974.94 and 81,793.13

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Solution

The third proportional to 37,974.94 and 81,793.13 is: 176,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,974.94 : 81,793.13 = 81,793.13 : x
  2. Step 2: Convert to fraction form
    37,974.94/81,793.13 = 81,793.13/x
  3. Step 3: Cross multiply
    37,974.94x = 81,793.13 × 81,793.13
  4. Step 4: Simplify right side
    37,974.94x = 6,690,115,297.27
  5. Step 5: Solve for x
    x = 6,690,115,297.27/37,974.94
  6. Step 6: Final answer
    x = 176,171.86

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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.