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Finding the Third Proportional to 33,959.25 and 71,016.75

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Solution

The third proportional to 33,959.25 and 71,016.75 is: 148,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,959.25 : 71,016.75 = 71,016.75 : x
  2. Step 2: Convert to fraction form
    33,959.25/71,016.75 = 71,016.75/x
  3. Step 3: Cross multiply
    33,959.25x = 71,016.75 × 71,016.75
  4. Step 4: Simplify right side
    33,959.25x = 5,043,378,780.56
  5. Step 5: Solve for x
    x = 5,043,378,780.56/33,959.25
  6. Step 6: Final answer
    x = 148,512.67

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.