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Finding the Third Proportional to 8,084 and 12,689

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Solution

The third proportional to 8,084 and 12,689 is: 19,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084 : 12,689 = 12,689 : x
  2. Step 2: Convert to fraction form
    8,084/12,689 = 12,689/x
  3. Step 3: Cross multiply
    8,084x = 12,689 × 12,689
  4. Step 4: Simplify right side
    8,084x = 161,010,721
  5. Step 5: Solve for x
    x = 161,010,721/8,084
  6. Step 6: Final answer
    x = 19,917.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.