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Finding the Third Proportional to 36,700 and 80,432

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Solution

The third proportional to 36,700 and 80,432 is: 176,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,700 : 80,432 = 80,432 : x
  2. Step 2: Convert to fraction form
    36,700/80,432 = 80,432/x
  3. Step 3: Cross multiply
    36,700x = 80,432 × 80,432
  4. Step 4: Simplify right side
    36,700x = 6,469,306,624
  5. Step 5: Solve for x
    x = 6,469,306,624/36,700
  6. Step 6: Final answer
    x = 176,275.38

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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.