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Finding the Third Proportional to 20,471 and 43,116

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Solution

The third proportional to 20,471 and 43,116 is: 90,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471 : 43,116 = 43,116 : x
  2. Step 2: Convert to fraction form
    20,471/43,116 = 43,116/x
  3. Step 3: Cross multiply
    20,471x = 43,116 × 43,116
  4. Step 4: Simplify right side
    20,471x = 1,858,989,456
  5. Step 5: Solve for x
    x = 1,858,989,456/20,471
  6. Step 6: Final answer
    x = 90,810.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.