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Finding the Third Proportional to 33,997 and 73,457

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Solution

The third proportional to 33,997 and 73,457 is: 158,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,997 : 73,457 = 73,457 : x
  2. Step 2: Convert to fraction form
    33,997/73,457 = 73,457/x
  3. Step 3: Cross multiply
    33,997x = 73,457 × 73,457
  4. Step 4: Simplify right side
    33,997x = 5,395,930,849
  5. Step 5: Solve for x
    x = 5,395,930,849/33,997
  6. Step 6: Final answer
    x = 158,717.85

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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.