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Finding the Third Proportional to 16,899 and 22,107

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Solution

The third proportional to 16,899 and 22,107 is: 28,920.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,899 : 22,107 = 22,107 : x
  2. Step 2: Convert to fraction form
    16,899/22,107 = 22,107/x
  3. Step 3: Cross multiply
    16,899x = 22,107 × 22,107
  4. Step 4: Simplify right side
    16,899x = 488,719,449
  5. Step 5: Solve for x
    x = 488,719,449/16,899
  6. Step 6: Final answer
    x = 28,920.02

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.