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Finding the Third Proportional to 37,438 and 80,708

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Solution

The third proportional to 37,438 and 80,708 is: 173,988.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,438 : 80,708 = 80,708 : x
  2. Step 2: Convert to fraction form
    37,438/80,708 = 80,708/x
  3. Step 3: Cross multiply
    37,438x = 80,708 × 80,708
  4. Step 4: Simplify right side
    37,438x = 6,513,781,264
  5. Step 5: Solve for x
    x = 6,513,781,264/37,438
  6. Step 6: Final answer
    x = 173,988.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.