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Finding the Third Proportional to 6,940 and 16,414

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Solution

The third proportional to 6,940 and 16,414 is: 38,821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940 : 16,414 = 16,414 : x
  2. Step 2: Convert to fraction form
    6,940/16,414 = 16,414/x
  3. Step 3: Cross multiply
    6,940x = 16,414 × 16,414
  4. Step 4: Simplify right side
    6,940x = 269,419,396
  5. Step 5: Solve for x
    x = 269,419,396/6,940
  6. Step 6: Final answer
    x = 38,821.24

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.