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Finding the Third Proportional to 37,438 and 81,814

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Solution

The third proportional to 37,438 and 81,814 is: 178,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,438 : 81,814 = 81,814 : x
  2. Step 2: Convert to fraction form
    37,438/81,814 = 81,814/x
  3. Step 3: Cross multiply
    37,438x = 81,814 × 81,814
  4. Step 4: Simplify right side
    37,438x = 6,693,530,596
  5. Step 5: Solve for x
    x = 6,693,530,596/37,438
  6. Step 6: Final answer
    x = 178,789.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.