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Finding the Third Proportional to 26,634 and 57,917

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Solution

The third proportional to 26,634 and 57,917 is: 125,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,634 : 57,917 = 57,917 : x
  2. Step 2: Convert to fraction form
    26,634/57,917 = 57,917/x
  3. Step 3: Cross multiply
    26,634x = 57,917 × 57,917
  4. Step 4: Simplify right side
    26,634x = 3,354,378,889
  5. Step 5: Solve for x
    x = 3,354,378,889/26,634
  6. Step 6: Final answer
    x = 125,943.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.