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Finding the Third Proportional to 16,879 and 22,402

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Solution

The third proportional to 16,879 and 22,402 is: 29,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,879 : 22,402 = 22,402 : x
  2. Step 2: Convert to fraction form
    16,879/22,402 = 22,402/x
  3. Step 3: Cross multiply
    16,879x = 22,402 × 22,402
  4. Step 4: Simplify right side
    16,879x = 501,849,604
  5. Step 5: Solve for x
    x = 501,849,604/16,879
  6. Step 6: Final answer
    x = 29,732.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.