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Finding the Third Proportional to 33,997 and 73,217

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Solution

The third proportional to 33,997 and 73,217 is: 157,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,997 : 73,217 = 73,217 : x
  2. Step 2: Convert to fraction form
    33,997/73,217 = 73,217/x
  3. Step 3: Cross multiply
    33,997x = 73,217 × 73,217
  4. Step 4: Simplify right side
    33,997x = 5,360,729,089
  5. Step 5: Solve for x
    x = 5,360,729,089/33,997
  6. Step 6: Final answer
    x = 157,682.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.