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Finding the Third Proportional to 4,067.25 and 5,524.75

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Solution

The third proportional to 4,067.25 and 5,524.75 is: 7,504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.25 : 5,524.75 = 5,524.75 : x
  2. Step 2: Convert to fraction form
    4,067.25/5,524.75 = 5,524.75/x
  3. Step 3: Cross multiply
    4,067.25x = 5,524.75 × 5,524.75
  4. Step 4: Simplify right side
    4,067.25x = 30,522,862.56
  5. Step 5: Solve for x
    x = 30,522,862.56/4,067.25
  6. Step 6: Final answer
    x = 7,504.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.