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Finding the Third Proportional to 33,216.75 and 71,651.25

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Solution

The third proportional to 33,216.75 and 71,651.25 is: 154,557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,216.75 : 71,651.25 = 71,651.25 : x
  2. Step 2: Convert to fraction form
    33,216.75/71,651.25 = 71,651.25/x
  3. Step 3: Cross multiply
    33,216.75x = 71,651.25 × 71,651.25
  4. Step 4: Simplify right side
    33,216.75x = 5,133,901,626.56
  5. Step 5: Solve for x
    x = 5,133,901,626.56/33,216.75
  6. Step 6: Final answer
    x = 154,557.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.