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Finding the Third Proportional to 3,882.38 and 5,938.88

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Solution

The third proportional to 3,882.38 and 5,938.88 is: 9,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.38 : 5,938.88 = 5,938.88 : x
  2. Step 2: Convert to fraction form
    3,882.38/5,938.88 = 5,938.88/x
  3. Step 3: Cross multiply
    3,882.38x = 5,938.88 × 5,938.88
  4. Step 4: Simplify right side
    3,882.38x = 35,270,236.27
  5. Step 5: Solve for x
    x = 35,270,236.27/3,882.38
  6. Step 6: Final answer
    x = 9,084.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.