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Finding the Third Proportional to 19,181 and 41,027

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Solution

The third proportional to 19,181 and 41,027 is: 87,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,181 : 41,027 = 41,027 : x
  2. Step 2: Convert to fraction form
    19,181/41,027 = 41,027/x
  3. Step 3: Cross multiply
    19,181x = 41,027 × 41,027
  4. Step 4: Simplify right side
    19,181x = 1,683,214,729
  5. Step 5: Solve for x
    x = 1,683,214,729/19,181
  6. Step 6: Final answer
    x = 87,754.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.