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Finding the Third Proportional to 2,544.38 and 5,397.73

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Solution

The third proportional to 2,544.38 and 5,397.73 is: 11,450.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.38 : 5,397.73 = 5,397.73 : x
  2. Step 2: Convert to fraction form
    2,544.38/5,397.73 = 5,397.73/x
  3. Step 3: Cross multiply
    2,544.38x = 5,397.73 × 5,397.73
  4. Step 4: Simplify right side
    2,544.38x = 29,135,515.30
  5. Step 5: Solve for x
    x = 29,135,515.30/2,544.38
  6. Step 6: Final answer
    x = 11,450.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.