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Finding the Third Proportional to 3,824 and 9,218

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Solution

The third proportional to 3,824 and 9,218 is: 22,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824 : 9,218 = 9,218 : x
  2. Step 2: Convert to fraction form
    3,824/9,218 = 9,218/x
  3. Step 3: Cross multiply
    3,824x = 9,218 × 9,218
  4. Step 4: Simplify right side
    3,824x = 84,971,524
  5. Step 5: Solve for x
    x = 84,971,524/3,824
  6. Step 6: Final answer
    x = 22,220.59

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.