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Finding the Third Proportional to 12,414 and 18,843

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Solution

The third proportional to 12,414 and 18,843 is: 28,601.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414 : 18,843 = 18,843 : x
  2. Step 2: Convert to fraction form
    12,414/18,843 = 18,843/x
  3. Step 3: Cross multiply
    12,414x = 18,843 × 18,843
  4. Step 4: Simplify right side
    12,414x = 355,058,649
  5. Step 5: Solve for x
    x = 355,058,649/12,414
  6. Step 6: Final answer
    x = 28,601.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.