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Finding the Third Proportional to 33,731 and 79,589

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Solution

The third proportional to 33,731 and 79,589 is: 187,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,731 : 79,589 = 79,589 : x
  2. Step 2: Convert to fraction form
    33,731/79,589 = 79,589/x
  3. Step 3: Cross multiply
    33,731x = 79,589 × 79,589
  4. Step 4: Simplify right side
    33,731x = 6,334,408,921
  5. Step 5: Solve for x
    x = 6,334,408,921/33,731
  6. Step 6: Final answer
    x = 187,791.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.