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Finding the Third Proportional to 11,806 and 18,119

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Solution

The third proportional to 11,806 and 18,119 is: 27,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806 : 18,119 = 18,119 : x
  2. Step 2: Convert to fraction form
    11,806/18,119 = 18,119/x
  3. Step 3: Cross multiply
    11,806x = 18,119 × 18,119
  4. Step 4: Simplify right side
    11,806x = 328,298,161
  5. Step 5: Solve for x
    x = 328,298,161/11,806
  6. Step 6: Final answer
    x = 27,807.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.