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Finding the Third Proportional to 33,223.50 and 52,872.75

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Solution

The third proportional to 33,223.50 and 52,872.75 is: 84,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,223.50 : 52,872.75 = 52,872.75 : x
  2. Step 2: Convert to fraction form
    33,223.50/52,872.75 = 52,872.75/x
  3. Step 3: Cross multiply
    33,223.50x = 52,872.75 × 52,872.75
  4. Step 4: Simplify right side
    33,223.50x = 2,795,527,692.56
  5. Step 5: Solve for x
    x = 2,795,527,692.56/33,223.50
  6. Step 6: Final answer
    x = 84,143.08

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.