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Finding the Third Proportional to 33,768.56 and 72,716.06

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Solution

The third proportional to 33,768.56 and 72,716.06 is: 156,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,768.56 : 72,716.06 = 72,716.06 : x
  2. Step 2: Convert to fraction form
    33,768.56/72,716.06 = 72,716.06/x
  3. Step 3: Cross multiply
    33,768.56x = 72,716.06 × 72,716.06
  4. Step 4: Simplify right side
    33,768.56x = 5,287,625,745.50
  5. Step 5: Solve for x
    x = 5,287,625,745.50/33,768.56
  6. Step 6: Final answer
    x = 156,584.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.