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Finding the Third Proportional to 8,084 and 11,811

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Solution

The third proportional to 8,084 and 11,811 is: 17,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084 : 11,811 = 11,811 : x
  2. Step 2: Convert to fraction form
    8,084/11,811 = 11,811/x
  3. Step 3: Cross multiply
    8,084x = 11,811 × 11,811
  4. Step 4: Simplify right side
    8,084x = 139,499,721
  5. Step 5: Solve for x
    x = 139,499,721/8,084
  6. Step 6: Final answer
    x = 17,256.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.