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Finding the Third Proportional to 33,639.75 and 72,463.50

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Solution

The third proportional to 33,639.75 and 72,463.50 is: 156,093.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,639.75 : 72,463.50 = 72,463.50 : x
  2. Step 2: Convert to fraction form
    33,639.75/72,463.50 = 72,463.50/x
  3. Step 3: Cross multiply
    33,639.75x = 72,463.50 × 72,463.50
  4. Step 4: Simplify right side
    33,639.75x = 5,250,958,832.25
  5. Step 5: Solve for x
    x = 5,250,958,832.25/33,639.75
  6. Step 6: Final answer
    x = 156,093.87

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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.