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Finding the Third Proportional to 12,285 and 18,891

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Solution

The third proportional to 12,285 and 18,891 is: 29,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285 : 18,891 = 18,891 : x
  2. Step 2: Convert to fraction form
    12,285/18,891 = 18,891/x
  3. Step 3: Cross multiply
    12,285x = 18,891 × 18,891
  4. Step 4: Simplify right side
    12,285x = 356,869,881
  5. Step 5: Solve for x
    x = 356,869,881/12,285
  6. Step 6: Final answer
    x = 29,049.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.