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Finding the Third Proportional to 16,614 and 22,380.75

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Solution

The third proportional to 16,614 and 22,380.75 is: 30,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,614 : 22,380.75 = 22,380.75 : x
  2. Step 2: Convert to fraction form
    16,614/22,380.75 = 22,380.75/x
  3. Step 3: Cross multiply
    16,614x = 22,380.75 × 22,380.75
  4. Step 4: Simplify right side
    16,614x = 500,897,970.56
  5. Step 5: Solve for x
    x = 500,897,970.56/16,614
  6. Step 6: Final answer
    x = 30,149.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.