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Finding the Third Proportional to 26,849 and 39,451

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Solution

The third proportional to 26,849 and 39,451 is: 57,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,849 : 39,451 = 39,451 : x
  2. Step 2: Convert to fraction form
    26,849/39,451 = 39,451/x
  3. Step 3: Cross multiply
    26,849x = 39,451 × 39,451
  4. Step 4: Simplify right side
    26,849x = 1,556,381,401
  5. Step 5: Solve for x
    x = 1,556,381,401/26,849
  6. Step 6: Final answer
    x = 57,967.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.