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Finding the Third Proportional to 8,751.38 and 10,027.13

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Solution

The third proportional to 8,751.38 and 10,027.13 is: 11,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,751.38 : 10,027.13 = 10,027.13 : x
  2. Step 2: Convert to fraction form
    8,751.38/10,027.13 = 10,027.13/x
  3. Step 3: Cross multiply
    8,751.38x = 10,027.13 × 10,027.13
  4. Step 4: Simplify right side
    8,751.38x = 100,543,235.77
  5. Step 5: Solve for x
    x = 100,543,235.77/8,751.38
  6. Step 6: Final answer
    x = 11,488.85

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.