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Finding the Third Proportional to 16,456.50 and 22,002.75

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Solution

The third proportional to 16,456.50 and 22,002.75 is: 29,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.50 : 22,002.75 = 22,002.75 : x
  2. Step 2: Convert to fraction form
    16,456.50/22,002.75 = 22,002.75/x
  3. Step 3: Cross multiply
    16,456.50x = 22,002.75 × 22,002.75
  4. Step 4: Simplify right side
    16,456.50x = 484,121,007.56
  5. Step 5: Solve for x
    x = 484,121,007.56/16,456.50
  6. Step 6: Final answer
    x = 29,418.22

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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.