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Finding the Third Proportional to 33,986 and 79,961

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Solution

The third proportional to 33,986 and 79,961 is: 188,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,986 : 79,961 = 79,961 : x
  2. Step 2: Convert to fraction form
    33,986/79,961 = 79,961/x
  3. Step 3: Cross multiply
    33,986x = 79,961 × 79,961
  4. Step 4: Simplify right side
    33,986x = 6,393,761,521
  5. Step 5: Solve for x
    x = 6,393,761,521/33,986
  6. Step 6: Final answer
    x = 188,129.27

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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.