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Finding the Third Proportional to 2,791.97 and 4,198.71

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Solution

The third proportional to 2,791.97 and 4,198.71 is: 6,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.97 : 4,198.71 = 4,198.71 : x
  2. Step 2: Convert to fraction form
    2,791.97/4,198.71 = 4,198.71/x
  3. Step 3: Cross multiply
    2,791.97x = 4,198.71 × 4,198.71
  4. Step 4: Simplify right side
    2,791.97x = 17,629,173.54
  5. Step 5: Solve for x
    x = 17,629,173.54/2,791.97
  6. Step 6: Final answer
    x = 6,314.24

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Why These Related Problems?

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