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Finding the Third Proportional to 33,997 and 75,041

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Solution

The third proportional to 33,997 and 75,041 is: 165,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,997 : 75,041 = 75,041 : x
  2. Step 2: Convert to fraction form
    33,997/75,041 = 75,041/x
  3. Step 3: Cross multiply
    33,997x = 75,041 × 75,041
  4. Step 4: Simplify right side
    33,997x = 5,631,151,681
  5. Step 5: Solve for x
    x = 5,631,151,681/33,997
  6. Step 6: Final answer
    x = 165,636.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.