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Finding the Third Proportional to 5,814 and 8,696

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Solution

The third proportional to 5,814 and 8,696 is: 13,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814 : 8,696 = 8,696 : x
  2. Step 2: Convert to fraction form
    5,814/8,696 = 8,696/x
  3. Step 3: Cross multiply
    5,814x = 8,696 × 8,696
  4. Step 4: Simplify right side
    5,814x = 75,620,416
  5. Step 5: Solve for x
    x = 75,620,416/5,814
  6. Step 6: Final answer
    x = 13,006.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.