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Finding the Third Proportional to 6,644.25 and 9,027.56

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Solution

The third proportional to 6,644.25 and 9,027.56 is: 12,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.25 : 9,027.56 = 9,027.56 : x
  2. Step 2: Convert to fraction form
    6,644.25/9,027.56 = 9,027.56/x
  3. Step 3: Cross multiply
    6,644.25x = 9,027.56 × 9,027.56
  4. Step 4: Simplify right side
    6,644.25x = 81,496,884.69
  5. Step 5: Solve for x
    x = 81,496,884.69/6,644.25
  6. Step 6: Final answer
    x = 12,265.78

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