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Finding the Third Proportional to 6,839 and 14,716

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Solution

The third proportional to 6,839 and 14,716 is: 31,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839 : 14,716 = 14,716 : x
  2. Step 2: Convert to fraction form
    6,839/14,716 = 14,716/x
  3. Step 3: Cross multiply
    6,839x = 14,716 × 14,716
  4. Step 4: Simplify right side
    6,839x = 216,560,656
  5. Step 5: Solve for x
    x = 216,560,656/6,839
  6. Step 6: Final answer
    x = 31,665.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.