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Finding the Third Proportional to 8,286 and 18,006

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Solution

The third proportional to 8,286 and 18,006 is: 39,128.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286 : 18,006 = 18,006 : x
  2. Step 2: Convert to fraction form
    8,286/18,006 = 18,006/x
  3. Step 3: Cross multiply
    8,286x = 18,006 × 18,006
  4. Step 4: Simplify right side
    8,286x = 324,216,036
  5. Step 5: Solve for x
    x = 324,216,036/8,286
  6. Step 6: Final answer
    x = 39,128.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.