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Finding the Third Proportional to 4,229.25 and 9,747.38

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Solution

The third proportional to 4,229.25 and 9,747.38 is: 22,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.25 : 9,747.38 = 9,747.38 : x
  2. Step 2: Convert to fraction form
    4,229.25/9,747.38 = 9,747.38/x
  3. Step 3: Cross multiply
    4,229.25x = 9,747.38 × 9,747.38
  4. Step 4: Simplify right side
    4,229.25x = 95,011,319.39
  5. Step 5: Solve for x
    x = 95,011,319.39/4,229.25
  6. Step 6: Final answer
    x = 22,465.29

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.