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Finding the Third Proportional to 33,261.75 and 50,236.75

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Solution

The third proportional to 33,261.75 and 50,236.75 is: 75,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,261.75 : 50,236.75 = 50,236.75 : x
  2. Step 2: Convert to fraction form
    33,261.75/50,236.75 = 50,236.75/x
  3. Step 3: Cross multiply
    33,261.75x = 50,236.75 × 50,236.75
  4. Step 4: Simplify right side
    33,261.75x = 2,523,731,050.56
  5. Step 5: Solve for x
    x = 2,523,731,050.56/33,261.75
  6. Step 6: Final answer
    x = 75,874.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.