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Finding the Third Proportional to 6,846 and 10,377

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Solution

The third proportional to 6,846 and 10,377 is: 15,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846 : 10,377 = 10,377 : x
  2. Step 2: Convert to fraction form
    6,846/10,377 = 10,377/x
  3. Step 3: Cross multiply
    6,846x = 10,377 × 10,377
  4. Step 4: Simplify right side
    6,846x = 107,682,129
  5. Step 5: Solve for x
    x = 107,682,129/6,846
  6. Step 6: Final answer
    x = 15,729.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.