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Finding the Third Proportional to 26,401 and 57,723

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Solution

The third proportional to 26,401 and 57,723 is: 126,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,401 : 57,723 = 57,723 : x
  2. Step 2: Convert to fraction form
    26,401/57,723 = 57,723/x
  3. Step 3: Cross multiply
    26,401x = 57,723 × 57,723
  4. Step 4: Simplify right side
    26,401x = 3,331,944,729
  5. Step 5: Solve for x
    x = 3,331,944,729/26,401
  6. Step 6: Final answer
    x = 126,205.25

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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.