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Finding the Third Proportional to 16,649 and 36,067

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Solution

The third proportional to 16,649 and 36,067 is: 78,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649 : 36,067 = 36,067 : x
  2. Step 2: Convert to fraction form
    16,649/36,067 = 36,067/x
  3. Step 3: Cross multiply
    16,649x = 36,067 × 36,067
  4. Step 4: Simplify right side
    16,649x = 1,300,828,489
  5. Step 5: Solve for x
    x = 1,300,828,489/16,649
  6. Step 6: Final answer
    x = 78,132.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.