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Finding the Third Proportional to 33,633.75 and 71,367.75

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Solution

The third proportional to 33,633.75 and 71,367.75 is: 151,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,633.75 : 71,367.75 = 71,367.75 : x
  2. Step 2: Convert to fraction form
    33,633.75/71,367.75 = 71,367.75/x
  3. Step 3: Cross multiply
    33,633.75x = 71,367.75 × 71,367.75
  4. Step 4: Simplify right side
    33,633.75x = 5,093,355,740.06
  5. Step 5: Solve for x
    x = 5,093,355,740.06/33,633.75
  6. Step 6: Final answer
    x = 151,435.86

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.