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Finding the Third Proportional to 26,275 and 57,659

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Solution

The third proportional to 26,275 and 57,659 is: 126,529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,275 : 57,659 = 57,659 : x
  2. Step 2: Convert to fraction form
    26,275/57,659 = 57,659/x
  3. Step 3: Cross multiply
    26,275x = 57,659 × 57,659
  4. Step 4: Simplify right side
    26,275x = 3,324,560,281
  5. Step 5: Solve for x
    x = 3,324,560,281/26,275
  6. Step 6: Final answer
    x = 126,529.41

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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.