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Finding the Third Proportional to 33,876.75 and 50,325

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Solution

The third proportional to 33,876.75 and 50,325 is: 74,759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,876.75 : 50,325 = 50,325 : x
  2. Step 2: Convert to fraction form
    33,876.75/50,325 = 50,325/x
  3. Step 3: Cross multiply
    33,876.75x = 50,325 × 50,325
  4. Step 4: Simplify right side
    33,876.75x = 2,532,605,625
  5. Step 5: Solve for x
    x = 2,532,605,625/33,876.75
  6. Step 6: Final answer
    x = 74,759.40

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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.