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Finding the Third Proportional to 18,285.75 and 27,327.38

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Solution

The third proportional to 18,285.75 and 27,327.38 is: 40,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285.75 : 27,327.38 = 27,327.38 : x
  2. Step 2: Convert to fraction form
    18,285.75/27,327.38 = 27,327.38/x
  3. Step 3: Cross multiply
    18,285.75x = 27,327.38 × 27,327.38
  4. Step 4: Simplify right side
    18,285.75x = 746,785,424.39
  5. Step 5: Solve for x
    x = 746,785,424.39/18,285.75
  6. Step 6: Final answer
    x = 40,839.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.