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Finding the Third Proportional to 33,899 and 79,189

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Solution

The third proportional to 33,899 and 79,189 is: 184,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,899 : 79,189 = 79,189 : x
  2. Step 2: Convert to fraction form
    33,899/79,189 = 79,189/x
  3. Step 3: Cross multiply
    33,899x = 79,189 × 79,189
  4. Step 4: Simplify right side
    33,899x = 6,270,897,721
  5. Step 5: Solve for x
    x = 6,270,897,721/33,899
  6. Step 6: Final answer
    x = 184,987.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.