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Finding the Third Proportional to 6,830 and 10,367

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Solution

The third proportional to 6,830 and 10,367 is: 15,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830 : 10,367 = 10,367 : x
  2. Step 2: Convert to fraction form
    6,830/10,367 = 10,367/x
  3. Step 3: Cross multiply
    6,830x = 10,367 × 10,367
  4. Step 4: Simplify right side
    6,830x = 107,474,689
  5. Step 5: Solve for x
    x = 107,474,689/6,830
  6. Step 6: Final answer
    x = 15,735.68

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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.