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Finding the Third Proportional to 6,771 and 16,314

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Solution

The third proportional to 6,771 and 16,314 is: 39,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771 : 16,314 = 16,314 : x
  2. Step 2: Convert to fraction form
    6,771/16,314 = 16,314/x
  3. Step 3: Cross multiply
    6,771x = 16,314 × 16,314
  4. Step 4: Simplify right side
    6,771x = 266,146,596
  5. Step 5: Solve for x
    x = 266,146,596/6,771
  6. Step 6: Final answer
    x = 39,306.84

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.