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Finding the Third Proportional to 33,452 and 73,466

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Solution

The third proportional to 33,452 and 73,466 is: 161,343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,452 : 73,466 = 73,466 : x
  2. Step 2: Convert to fraction form
    33,452/73,466 = 73,466/x
  3. Step 3: Cross multiply
    33,452x = 73,466 × 73,466
  4. Step 4: Simplify right side
    33,452x = 5,397,253,156
  5. Step 5: Solve for x
    x = 5,397,253,156/33,452
  6. Step 6: Final answer
    x = 161,343.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.