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Finding the Third Proportional to 33,211.69 and 71,672.34

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Solution

The third proportional to 33,211.69 and 71,672.34 is: 154,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,211.69 : 71,672.34 = 71,672.34 : x
  2. Step 2: Convert to fraction form
    33,211.69/71,672.34 = 71,672.34/x
  3. Step 3: Cross multiply
    33,211.69x = 71,672.34 × 71,672.34
  4. Step 4: Simplify right side
    33,211.69x = 5,136,924,858.62
  5. Step 5: Solve for x
    x = 5,136,924,858.62/33,211.69
  6. Step 6: Final answer
    x = 154,672.20

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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.