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Finding the Third Proportional to 33,034.50 and 79,899.75

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Solution

The third proportional to 33,034.50 and 79,899.75 is: 193,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,034.50 : 79,899.75 = 79,899.75 : x
  2. Step 2: Convert to fraction form
    33,034.50/79,899.75 = 79,899.75/x
  3. Step 3: Cross multiply
    33,034.50x = 79,899.75 × 79,899.75
  4. Step 4: Simplify right side
    33,034.50x = 6,383,970,050.06
  5. Step 5: Solve for x
    x = 6,383,970,050.06/33,034.50
  6. Step 6: Final answer
    x = 193,251.60

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.