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Finding the Third Proportional to 11,198.25 and 23,545.69

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Solution

The third proportional to 11,198.25 and 23,545.69 is: 49,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.25 : 23,545.69 = 23,545.69 : x
  2. Step 2: Convert to fraction form
    11,198.25/23,545.69 = 23,545.69/x
  3. Step 3: Cross multiply
    11,198.25x = 23,545.69 × 23,545.69
  4. Step 4: Simplify right side
    11,198.25x = 554,399,399.85
  5. Step 5: Solve for x
    x = 554,399,399.85/11,198.25
  6. Step 6: Final answer
    x = 49,507.68

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.