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Finding the Third Proportional to 6,734 and 7,382

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Solution

The third proportional to 6,734 and 7,382 is: 8,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734 : 7,382 = 7,382 : x
  2. Step 2: Convert to fraction form
    6,734/7,382 = 7,382/x
  3. Step 3: Cross multiply
    6,734x = 7,382 × 7,382
  4. Step 4: Simplify right side
    6,734x = 54,493,924
  5. Step 5: Solve for x
    x = 54,493,924/6,734
  6. Step 6: Final answer
    x = 8,092.36

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.