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Finding the Third Proportional to 6,288.38 and 8,562.75

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Solution

The third proportional to 6,288.38 and 8,562.75 is: 11,659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.38 : 8,562.75 = 8,562.75 : x
  2. Step 2: Convert to fraction form
    6,288.38/8,562.75 = 8,562.75/x
  3. Step 3: Cross multiply
    6,288.38x = 8,562.75 × 8,562.75
  4. Step 4: Simplify right side
    6,288.38x = 73,320,687.56
  5. Step 5: Solve for x
    x = 73,320,687.56/6,288.38
  6. Step 6: Final answer
    x = 11,659.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.