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Finding the Third Proportional to 6,327 and 6,795

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Solution

The third proportional to 6,327 and 6,795 is: 7,297.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327 : 6,795 = 6,795 : x
  2. Step 2: Convert to fraction form
    6,327/6,795 = 6,795/x
  3. Step 3: Cross multiply
    6,327x = 6,795 × 6,795
  4. Step 4: Simplify right side
    6,327x = 46,172,025
  5. Step 5: Solve for x
    x = 46,172,025/6,327
  6. Step 6: Final answer
    x = 7,297.62

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.