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Finding the Third Proportional to 16,382.25 and 24,553.13

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Solution

The third proportional to 16,382.25 and 24,553.13 is: 36,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.25 : 24,553.13 = 24,553.13 : x
  2. Step 2: Convert to fraction form
    16,382.25/24,553.13 = 24,553.13/x
  3. Step 3: Cross multiply
    16,382.25x = 24,553.13 × 24,553.13
  4. Step 4: Simplify right side
    16,382.25x = 602,855,947.27
  5. Step 5: Solve for x
    x = 602,855,947.27/16,382.25
  6. Step 6: Final answer
    x = 36,799.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.