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Finding the Third Proportional to 33,062 and 43,857

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Solution

The third proportional to 33,062 and 43,857 is: 58,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,062 : 43,857 = 43,857 : x
  2. Step 2: Convert to fraction form
    33,062/43,857 = 43,857/x
  3. Step 3: Cross multiply
    33,062x = 43,857 × 43,857
  4. Step 4: Simplify right side
    33,062x = 1,923,436,449
  5. Step 5: Solve for x
    x = 1,923,436,449/33,062
  6. Step 6: Final answer
    x = 58,176.65

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.