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Finding the Third Proportional to 20,112 and 41,843

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Solution

The third proportional to 20,112 and 41,843 is: 87,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112 : 41,843 = 41,843 : x
  2. Step 2: Convert to fraction form
    20,112/41,843 = 41,843/x
  3. Step 3: Cross multiply
    20,112x = 41,843 × 41,843
  4. Step 4: Simplify right side
    20,112x = 1,750,836,649
  5. Step 5: Solve for x
    x = 1,750,836,649/20,112
  6. Step 6: Final answer
    x = 87,054.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.