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Finding the Third Proportional to 26,285 and 41,802

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Solution

The third proportional to 26,285 and 41,802 is: 66,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,285 : 41,802 = 41,802 : x
  2. Step 2: Convert to fraction form
    26,285/41,802 = 41,802/x
  3. Step 3: Cross multiply
    26,285x = 41,802 × 41,802
  4. Step 4: Simplify right side
    26,285x = 1,747,407,204
  5. Step 5: Solve for x
    x = 1,747,407,204/26,285
  6. Step 6: Final answer
    x = 66,479.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.