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Finding the Third Proportional to 16,759 and 36,839

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Solution

The third proportional to 16,759 and 36,839 is: 80,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,759 : 36,839 = 36,839 : x
  2. Step 2: Convert to fraction form
    16,759/36,839 = 36,839/x
  3. Step 3: Cross multiply
    16,759x = 36,839 × 36,839
  4. Step 4: Simplify right side
    16,759x = 1,357,111,921
  5. Step 5: Solve for x
    x = 1,357,111,921/16,759
  6. Step 6: Final answer
    x = 80,978.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.