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Finding the Third Proportional to 26,383 and 57,662

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Solution

The third proportional to 26,383 and 57,662 is: 126,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,383 : 57,662 = 57,662 : x
  2. Step 2: Convert to fraction form
    26,383/57,662 = 57,662/x
  3. Step 3: Cross multiply
    26,383x = 57,662 × 57,662
  4. Step 4: Simplify right side
    26,383x = 3,324,906,244
  5. Step 5: Solve for x
    x = 3,324,906,244/26,383
  6. Step 6: Final answer
    x = 126,024.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.