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Finding the Third Proportional to 33,998 and 73,471

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Solution

The third proportional to 33,998 and 73,471 is: 158,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,998 : 73,471 = 73,471 : x
  2. Step 2: Convert to fraction form
    33,998/73,471 = 73,471/x
  3. Step 3: Cross multiply
    33,998x = 73,471 × 73,471
  4. Step 4: Simplify right side
    33,998x = 5,397,987,841
  5. Step 5: Solve for x
    x = 5,397,987,841/33,998
  6. Step 6: Final answer
    x = 158,773.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.