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Finding the Third Proportional to 16,787 and 36,802

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Solution

The third proportional to 16,787 and 36,802 is: 80,680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,787 : 36,802 = 36,802 : x
  2. Step 2: Convert to fraction form
    16,787/36,802 = 36,802/x
  3. Step 3: Cross multiply
    16,787x = 36,802 × 36,802
  4. Step 4: Simplify right side
    16,787x = 1,354,387,204
  5. Step 5: Solve for x
    x = 1,354,387,204/16,787
  6. Step 6: Final answer
    x = 80,680.72

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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.