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Finding the Third Proportional to 14,109 and 20,496

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Solution

The third proportional to 14,109 and 20,496 is: 29,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109 : 20,496 = 20,496 : x
  2. Step 2: Convert to fraction form
    14,109/20,496 = 20,496/x
  3. Step 3: Cross multiply
    14,109x = 20,496 × 20,496
  4. Step 4: Simplify right side
    14,109x = 420,086,016
  5. Step 5: Solve for x
    x = 420,086,016/14,109
  6. Step 6: Final answer
    x = 29,774.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.