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Finding the Third Proportional to 26,758 and 57,836

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Solution

The third proportional to 26,758 and 57,836 is: 125,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,758 : 57,836 = 57,836 : x
  2. Step 2: Convert to fraction form
    26,758/57,836 = 57,836/x
  3. Step 3: Cross multiply
    26,758x = 57,836 × 57,836
  4. Step 4: Simplify right side
    26,758x = 3,345,002,896
  5. Step 5: Solve for x
    x = 3,345,002,896/26,758
  6. Step 6: Final answer
    x = 125,009.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.