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Finding the Third Proportional to 8,396 and 12,814

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Solution

The third proportional to 8,396 and 12,814 is: 19,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396 : 12,814 = 12,814 : x
  2. Step 2: Convert to fraction form
    8,396/12,814 = 12,814/x
  3. Step 3: Cross multiply
    8,396x = 12,814 × 12,814
  4. Step 4: Simplify right side
    8,396x = 164,198,596
  5. Step 5: Solve for x
    x = 164,198,596/8,396
  6. Step 6: Final answer
    x = 19,556.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.