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Finding the Third Proportional to 11,886 and 18,339

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Solution

The third proportional to 11,886 and 18,339 is: 28,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886 : 18,339 = 18,339 : x
  2. Step 2: Convert to fraction form
    11,886/18,339 = 18,339/x
  3. Step 3: Cross multiply
    11,886x = 18,339 × 18,339
  4. Step 4: Simplify right side
    11,886x = 336,318,921
  5. Step 5: Solve for x
    x = 336,318,921/11,886
  6. Step 6: Final answer
    x = 28,295.38

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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.