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Finding the Third Proportional to 26,847 and 58,356

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Solution

The third proportional to 26,847 and 58,356 is: 126,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,847 : 58,356 = 58,356 : x
  2. Step 2: Convert to fraction form
    26,847/58,356 = 58,356/x
  3. Step 3: Cross multiply
    26,847x = 58,356 × 58,356
  4. Step 4: Simplify right side
    26,847x = 3,405,422,736
  5. Step 5: Solve for x
    x = 3,405,422,736/26,847
  6. Step 6: Final answer
    x = 126,845.56

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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.