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Finding the Third Proportional to 32,997 and 75,198

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Solution

The third proportional to 32,997 and 75,198 is: 171,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,997 : 75,198 = 75,198 : x
  2. Step 2: Convert to fraction form
    32,997/75,198 = 75,198/x
  3. Step 3: Cross multiply
    32,997x = 75,198 × 75,198
  4. Step 4: Simplify right side
    32,997x = 5,654,739,204
  5. Step 5: Solve for x
    x = 5,654,739,204/32,997
  6. Step 6: Final answer
    x = 171,371.31

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.