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Finding the Third Proportional to 16,110 and 21,654

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Solution

The third proportional to 16,110 and 21,654 is: 29,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,110 : 21,654 = 21,654 : x
  2. Step 2: Convert to fraction form
    16,110/21,654 = 21,654/x
  3. Step 3: Cross multiply
    16,110x = 21,654 × 21,654
  4. Step 4: Simplify right side
    16,110x = 468,895,716
  5. Step 5: Solve for x
    x = 468,895,716/16,110
  6. Step 6: Final answer
    x = 29,105.88

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.