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Finding the Third Proportional to 33,998 and 74,725

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Solution

The third proportional to 33,998 and 74,725 is: 164,239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,998 : 74,725 = 74,725 : x
  2. Step 2: Convert to fraction form
    33,998/74,725 = 74,725/x
  3. Step 3: Cross multiply
    33,998x = 74,725 × 74,725
  4. Step 4: Simplify right side
    33,998x = 5,583,825,625
  5. Step 5: Solve for x
    x = 5,583,825,625/33,998
  6. Step 6: Final answer
    x = 164,239.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.