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Finding the Third Proportional to 11,057.06 and 16,545.09

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Solution

The third proportional to 11,057.06 and 16,545.09 is: 24,757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.06 : 16,545.09 = 16,545.09 : x
  2. Step 2: Convert to fraction form
    11,057.06/16,545.09 = 16,545.09/x
  3. Step 3: Cross multiply
    11,057.06x = 16,545.09 × 16,545.09
  4. Step 4: Simplify right side
    11,057.06x = 273,740,127.20
  5. Step 5: Solve for x
    x = 273,740,127.20/11,057.06
  6. Step 6: Final answer
    x = 24,757.04

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