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Finding the Third Proportional to 6,902 and 11,496

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Solution

The third proportional to 6,902 and 11,496 is: 19,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902 : 11,496 = 11,496 : x
  2. Step 2: Convert to fraction form
    6,902/11,496 = 11,496/x
  3. Step 3: Cross multiply
    6,902x = 11,496 × 11,496
  4. Step 4: Simplify right side
    6,902x = 132,158,016
  5. Step 5: Solve for x
    x = 132,158,016/6,902
  6. Step 6: Final answer
    x = 19,147.79

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.