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Finding the Third Proportional to 33,592.50 and 50,213.25

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Solution

The third proportional to 33,592.50 and 50,213.25 is: 75,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,592.50 : 50,213.25 = 50,213.25 : x
  2. Step 2: Convert to fraction form
    33,592.50/50,213.25 = 50,213.25/x
  3. Step 3: Cross multiply
    33,592.50x = 50,213.25 × 50,213.25
  4. Step 4: Simplify right side
    33,592.50x = 2,521,370,475.56
  5. Step 5: Solve for x
    x = 2,521,370,475.56/33,592.50
  6. Step 6: Final answer
    x = 75,057.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.