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Finding the Third Proportional to 3,397.25 and 5,250.75

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Solution

The third proportional to 3,397.25 and 5,250.75 is: 8,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.25 : 5,250.75 = 5,250.75 : x
  2. Step 2: Convert to fraction form
    3,397.25/5,250.75 = 5,250.75/x
  3. Step 3: Cross multiply
    3,397.25x = 5,250.75 × 5,250.75
  4. Step 4: Simplify right side
    3,397.25x = 27,570,375.56
  5. Step 5: Solve for x
    x = 27,570,375.56/3,397.25
  6. Step 6: Final answer
    x = 8,115.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.