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Finding the Third Proportional to 26,380 and 41,766

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Solution

The third proportional to 26,380 and 41,766 is: 66,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,380 : 41,766 = 41,766 : x
  2. Step 2: Convert to fraction form
    26,380/41,766 = 41,766/x
  3. Step 3: Cross multiply
    26,380x = 41,766 × 41,766
  4. Step 4: Simplify right side
    26,380x = 1,744,398,756
  5. Step 5: Solve for x
    x = 1,744,398,756/26,380
  6. Step 6: Final answer
    x = 66,125.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.