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Finding the Third Proportional to 16,540 and 24,198

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Solution

The third proportional to 16,540 and 24,198 is: 35,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540 : 24,198 = 24,198 : x
  2. Step 2: Convert to fraction form
    16,540/24,198 = 24,198/x
  3. Step 3: Cross multiply
    16,540x = 24,198 × 24,198
  4. Step 4: Simplify right side
    16,540x = 585,543,204
  5. Step 5: Solve for x
    x = 585,543,204/16,540
  6. Step 6: Final answer
    x = 35,401.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.