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Finding the Third Proportional to 33,825.73 and 54,352.27

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Solution

The third proportional to 33,825.73 and 54,352.27 is: 87,334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,825.73 : 54,352.27 = 54,352.27 : x
  2. Step 2: Convert to fraction form
    33,825.73/54,352.27 = 54,352.27/x
  3. Step 3: Cross multiply
    33,825.73x = 54,352.27 × 54,352.27
  4. Step 4: Simplify right side
    33,825.73x = 2,954,168,778.57
  5. Step 5: Solve for x
    x = 2,954,168,778.57/33,825.73
  6. Step 6: Final answer
    x = 87,334.97

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.