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Finding the Third Proportional to 4,136.06 and 11,236.22

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Solution

The third proportional to 4,136.06 and 11,236.22 is: 30,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.06 : 11,236.22 = 11,236.22 : x
  2. Step 2: Convert to fraction form
    4,136.06/11,236.22 = 11,236.22/x
  3. Step 3: Cross multiply
    4,136.06x = 11,236.22 × 11,236.22
  4. Step 4: Simplify right side
    4,136.06x = 126,252,611.80
  5. Step 5: Solve for x
    x = 126,252,611.80/4,136.06
  6. Step 6: Final answer
    x = 30,524.83

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.