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Finding the Third Proportional to 33,993 and 79,982.44

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Solution

The third proportional to 33,993 and 79,982.44 is: 188,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,993 : 79,982.44 = 79,982.44 : x
  2. Step 2: Convert to fraction form
    33,993/79,982.44 = 79,982.44/x
  3. Step 3: Cross multiply
    33,993x = 79,982.44 × 79,982.44
  4. Step 4: Simplify right side
    33,993x = 6,397,190,308.44
  5. Step 5: Solve for x
    x = 6,397,190,308.44/33,993
  6. Step 6: Final answer
    x = 188,191.40

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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.