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Finding the Third Proportional to 11,844 and 18,338

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Solution

The third proportional to 11,844 and 18,338 is: 28,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844 : 18,338 = 18,338 : x
  2. Step 2: Convert to fraction form
    11,844/18,338 = 18,338/x
  3. Step 3: Cross multiply
    11,844x = 18,338 × 18,338
  4. Step 4: Simplify right side
    11,844x = 336,282,244
  5. Step 5: Solve for x
    x = 336,282,244/11,844
  6. Step 6: Final answer
    x = 28,392.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.