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Finding the Third Proportional to 33,266.25 and 36,546.75

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Solution

The third proportional to 33,266.25 and 36,546.75 is: 40,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,266.25 : 36,546.75 = 36,546.75 : x
  2. Step 2: Convert to fraction form
    33,266.25/36,546.75 = 36,546.75/x
  3. Step 3: Cross multiply
    33,266.25x = 36,546.75 × 36,546.75
  4. Step 4: Simplify right side
    33,266.25x = 1,335,664,935.56
  5. Step 5: Solve for x
    x = 1,335,664,935.56/33,266.25
  6. Step 6: Final answer
    x = 40,150.75

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.