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Finding the Third Proportional to 33,649 and 71,397

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Solution

The third proportional to 33,649 and 71,397 is: 151,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649 : 71,397 = 71,397 : x
  2. Step 2: Convert to fraction form
    33,649/71,397 = 71,397/x
  3. Step 3: Cross multiply
    33,649x = 71,397 × 71,397
  4. Step 4: Simplify right side
    33,649x = 5,097,531,609
  5. Step 5: Solve for x
    x = 5,097,531,609/33,649
  6. Step 6: Final answer
    x = 151,491.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.