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Finding the Third Proportional to 2,772.38 and 6,057.38

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Solution

The third proportional to 2,772.38 and 6,057.38 is: 13,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.38 : 6,057.38 = 6,057.38 : x
  2. Step 2: Convert to fraction form
    2,772.38/6,057.38 = 6,057.38/x
  3. Step 3: Cross multiply
    2,772.38x = 6,057.38 × 6,057.38
  4. Step 4: Simplify right side
    2,772.38x = 36,691,791.89
  5. Step 5: Solve for x
    x = 36,691,791.89/2,772.38
  6. Step 6: Final answer
    x = 13,234.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.