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Finding the Third Proportional to 33,997 and 73,453

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Solution

The third proportional to 33,997 and 73,453 is: 158,700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,997 : 73,453 = 73,453 : x
  2. Step 2: Convert to fraction form
    33,997/73,453 = 73,453/x
  3. Step 3: Cross multiply
    33,997x = 73,453 × 73,453
  4. Step 4: Simplify right side
    33,997x = 5,395,343,209
  5. Step 5: Solve for x
    x = 5,395,343,209/33,997
  6. Step 6: Final answer
    x = 158,700.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.