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Finding the Third Proportional to 43,711 and 66,227

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Solution

The third proportional to 43,711 and 66,227 is: 100,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,711 : 66,227 = 66,227 : x
  2. Step 2: Convert to fraction form
    43,711/66,227 = 66,227/x
  3. Step 3: Cross multiply
    43,711x = 66,227 × 66,227
  4. Step 4: Simplify right side
    43,711x = 4,386,015,529
  5. Step 5: Solve for x
    x = 4,386,015,529/43,711
  6. Step 6: Final answer
    x = 100,341.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.