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Finding the Third Proportional to 26,636 and 41,782

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Solution

The third proportional to 26,636 and 41,782 is: 65,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,636 : 41,782 = 41,782 : x
  2. Step 2: Convert to fraction form
    26,636/41,782 = 41,782/x
  3. Step 3: Cross multiply
    26,636x = 41,782 × 41,782
  4. Step 4: Simplify right side
    26,636x = 1,745,735,524
  5. Step 5: Solve for x
    x = 1,745,735,524/26,636
  6. Step 6: Final answer
    x = 65,540.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.