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Finding the Third Proportional to 8,686 and 9,496

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Solution

The third proportional to 8,686 and 9,496 is: 10,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686 : 9,496 = 9,496 : x
  2. Step 2: Convert to fraction form
    8,686/9,496 = 9,496/x
  3. Step 3: Cross multiply
    8,686x = 9,496 × 9,496
  4. Step 4: Simplify right side
    8,686x = 90,174,016
  5. Step 5: Solve for x
    x = 90,174,016/8,686
  6. Step 6: Final answer
    x = 10,381.54

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.