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Finding the Third Proportional to 11,986 and 18,146

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Solution

The third proportional to 11,986 and 18,146 is: 27,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986 : 18,146 = 18,146 : x
  2. Step 2: Convert to fraction form
    11,986/18,146 = 18,146/x
  3. Step 3: Cross multiply
    11,986x = 18,146 × 18,146
  4. Step 4: Simplify right side
    11,986x = 329,277,316
  5. Step 5: Solve for x
    x = 329,277,316/11,986
  6. Step 6: Final answer
    x = 27,471.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.