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Finding the Third Proportional to 3,524.25 and 4,747.88

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Solution

The third proportional to 3,524.25 and 4,747.88 is: 6,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.25 : 4,747.88 = 4,747.88 : x
  2. Step 2: Convert to fraction form
    3,524.25/4,747.88 = 4,747.88/x
  3. Step 3: Cross multiply
    3,524.25x = 4,747.88 × 4,747.88
  4. Step 4: Simplify right side
    3,524.25x = 22,542,317.02
  5. Step 5: Solve for x
    x = 22,542,317.02/3,524.25
  6. Step 6: Final answer
    x = 6,396.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.