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Finding the Third Proportional to 18,705 and 41,116

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Solution

The third proportional to 18,705 and 41,116 is: 90,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705 : 41,116 = 41,116 : x
  2. Step 2: Convert to fraction form
    18,705/41,116 = 41,116/x
  3. Step 3: Cross multiply
    18,705x = 41,116 × 41,116
  4. Step 4: Simplify right side
    18,705x = 1,690,525,456
  5. Step 5: Solve for x
    x = 1,690,525,456/18,705
  6. Step 6: Final answer
    x = 90,378.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.