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Finding the Third Proportional to 4,242.38 and 6,562.27

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Solution

The third proportional to 4,242.38 and 6,562.27 is: 10,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.38 : 6,562.27 = 6,562.27 : x
  2. Step 2: Convert to fraction form
    4,242.38/6,562.27 = 6,562.27/x
  3. Step 3: Cross multiply
    4,242.38x = 6,562.27 × 6,562.27
  4. Step 4: Simplify right side
    4,242.38x = 43,063,330.13
  5. Step 5: Solve for x
    x = 43,063,330.13/4,242.38
  6. Step 6: Final answer
    x = 10,150.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.