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Finding the Third Proportional to 7,866 and 8,686

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Solution

The third proportional to 7,866 and 8,686 is: 9,591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866 : 8,686 = 8,686 : x
  2. Step 2: Convert to fraction form
    7,866/8,686 = 8,686/x
  3. Step 3: Cross multiply
    7,866x = 8,686 × 8,686
  4. Step 4: Simplify right side
    7,866x = 75,446,596
  5. Step 5: Solve for x
    x = 75,446,596/7,866
  6. Step 6: Final answer
    x = 9,591.48

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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.