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Finding the Third Proportional to 41,236.50 and 91,917

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Solution

The third proportional to 41,236.50 and 91,917 is: 204,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,236.50 : 91,917 = 91,917 : x
  2. Step 2: Convert to fraction form
    41,236.50/91,917 = 91,917/x
  3. Step 3: Cross multiply
    41,236.50x = 91,917 × 91,917
  4. Step 4: Simplify right side
    41,236.50x = 8,448,734,889
  5. Step 5: Solve for x
    x = 8,448,734,889/41,236.50
  6. Step 6: Final answer
    x = 204,884.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.