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Finding the Third Proportional to 33,745.50 and 73,847.25

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Solution

The third proportional to 33,745.50 and 73,847.25 is: 161,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,745.50 : 73,847.25 = 73,847.25 : x
  2. Step 2: Convert to fraction form
    33,745.50/73,847.25 = 73,847.25/x
  3. Step 3: Cross multiply
    33,745.50x = 73,847.25 × 73,847.25
  4. Step 4: Simplify right side
    33,745.50x = 5,453,416,332.56
  5. Step 5: Solve for x
    x = 5,453,416,332.56/33,745.50
  6. Step 6: Final answer
    x = 161,604.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.