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Finding the Third Proportional to 27,284 and 41,027

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Solution

The third proportional to 27,284 and 41,027 is: 61,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284 : 41,027 = 41,027 : x
  2. Step 2: Convert to fraction form
    27,284/41,027 = 41,027/x
  3. Step 3: Cross multiply
    27,284x = 41,027 × 41,027
  4. Step 4: Simplify right side
    27,284x = 1,683,214,729
  5. Step 5: Solve for x
    x = 1,683,214,729/27,284
  6. Step 6: Final answer
    x = 61,692.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.