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Finding the Third Proportional to 13,338 and 22,231

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Solution

The third proportional to 13,338 and 22,231 is: 37,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338 : 22,231 = 22,231 : x
  2. Step 2: Convert to fraction form
    13,338/22,231 = 22,231/x
  3. Step 3: Cross multiply
    13,338x = 22,231 × 22,231
  4. Step 4: Simplify right side
    13,338x = 494,217,361
  5. Step 5: Solve for x
    x = 494,217,361/13,338
  6. Step 6: Final answer
    x = 37,053.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.