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Finding the Third Proportional to 5,738.20 and 8,123.13

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Solution

The third proportional to 5,738.20 and 8,123.13 is: 11,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.20 : 8,123.13 = 8,123.13 : x
  2. Step 2: Convert to fraction form
    5,738.20/8,123.13 = 8,123.13/x
  3. Step 3: Cross multiply
    5,738.20x = 8,123.13 × 8,123.13
  4. Step 4: Simplify right side
    5,738.20x = 65,985,286.69
  5. Step 5: Solve for x
    x = 65,985,286.69/5,738.20
  6. Step 6: Final answer
    x = 11,499.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.