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Finding the Third Proportional to 37,644 and 80,720

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Solution

The third proportional to 37,644 and 80,720 is: 173,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644 : 80,720 = 80,720 : x
  2. Step 2: Convert to fraction form
    37,644/80,720 = 80,720/x
  3. Step 3: Cross multiply
    37,644x = 80,720 × 80,720
  4. Step 4: Simplify right side
    37,644x = 6,515,718,400
  5. Step 5: Solve for x
    x = 6,515,718,400/37,644
  6. Step 6: Final answer
    x = 173,087.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.