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Finding the Third Proportional to 33,982 and 79,962

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Solution

The third proportional to 33,982 and 79,962 is: 188,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,982 : 79,962 = 79,962 : x
  2. Step 2: Convert to fraction form
    33,982/79,962 = 79,962/x
  3. Step 3: Cross multiply
    33,982x = 79,962 × 79,962
  4. Step 4: Simplify right side
    33,982x = 6,393,921,444
  5. Step 5: Solve for x
    x = 6,393,921,444/33,982
  6. Step 6: Final answer
    x = 188,156.13

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.