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Finding the Third Proportional to 7,086 and 7,626

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Solution

The third proportional to 7,086 and 7,626 is: 8,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086 : 7,626 = 7,626 : x
  2. Step 2: Convert to fraction form
    7,086/7,626 = 7,626/x
  3. Step 3: Cross multiply
    7,086x = 7,626 × 7,626
  4. Step 4: Simplify right side
    7,086x = 58,155,876
  5. Step 5: Solve for x
    x = 58,155,876/7,086
  6. Step 6: Final answer
    x = 8,207.15

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.