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Finding the Third Proportional to 2,121.19 and 5,545.97

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Solution

The third proportional to 2,121.19 and 5,545.97 is: 14,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.19 : 5,545.97 = 5,545.97 : x
  2. Step 2: Convert to fraction form
    2,121.19/5,545.97 = 5,545.97/x
  3. Step 3: Cross multiply
    2,121.19x = 5,545.97 × 5,545.97
  4. Step 4: Simplify right side
    2,121.19x = 30,757,769.38
  5. Step 5: Solve for x
    x = 30,757,769.38/2,121.19
  6. Step 6: Final answer
    x = 14,500.26

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.