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Finding the Third Proportional to 26,786 and 41,206

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Solution

The third proportional to 26,786 and 41,206 is: 63,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,786 : 41,206 = 41,206 : x
  2. Step 2: Convert to fraction form
    26,786/41,206 = 41,206/x
  3. Step 3: Cross multiply
    26,786x = 41,206 × 41,206
  4. Step 4: Simplify right side
    26,786x = 1,697,934,436
  5. Step 5: Solve for x
    x = 1,697,934,436/26,786
  6. Step 6: Final answer
    x = 63,388.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.