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Finding the Third Proportional to 43,836 and 62,027

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Solution

The third proportional to 43,836 and 62,027 is: 87,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,836 : 62,027 = 62,027 : x
  2. Step 2: Convert to fraction form
    43,836/62,027 = 62,027/x
  3. Step 3: Cross multiply
    43,836x = 62,027 × 62,027
  4. Step 4: Simplify right side
    43,836x = 3,847,348,729
  5. Step 5: Solve for x
    x = 3,847,348,729/43,836
  6. Step 6: Final answer
    x = 87,766.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.