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Finding the Third Proportional to 16,966 and 25,451

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Solution

The third proportional to 16,966 and 25,451 is: 38,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966 : 25,451 = 25,451 : x
  2. Step 2: Convert to fraction form
    16,966/25,451 = 25,451/x
  3. Step 3: Cross multiply
    16,966x = 25,451 × 25,451
  4. Step 4: Simplify right side
    16,966x = 647,753,401
  5. Step 5: Solve for x
    x = 647,753,401/16,966
  6. Step 6: Final answer
    x = 38,179.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.