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Finding the Third Proportional to 33,744 and 73,311

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Solution

The third proportional to 33,744 and 73,311 is: 159,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,744 : 73,311 = 73,311 : x
  2. Step 2: Convert to fraction form
    33,744/73,311 = 73,311/x
  3. Step 3: Cross multiply
    33,744x = 73,311 × 73,311
  4. Step 4: Simplify right side
    33,744x = 5,374,502,721
  5. Step 5: Solve for x
    x = 5,374,502,721/33,744
  6. Step 6: Final answer
    x = 159,272.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.