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Finding the Third Proportional to 33,979.50 and 75,066.75

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Solution

The third proportional to 33,979.50 and 75,066.75 is: 165,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,979.50 : 75,066.75 = 75,066.75 : x
  2. Step 2: Convert to fraction form
    33,979.50/75,066.75 = 75,066.75/x
  3. Step 3: Cross multiply
    33,979.50x = 75,066.75 × 75,066.75
  4. Step 4: Simplify right side
    33,979.50x = 5,635,016,955.56
  5. Step 5: Solve for x
    x = 5,635,016,955.56/33,979.50
  6. Step 6: Final answer
    x = 165,835.78

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.