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Finding the Third Proportional to 12,146 and 18,183

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Solution

The third proportional to 12,146 and 18,183 is: 27,220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146 : 18,183 = 18,183 : x
  2. Step 2: Convert to fraction form
    12,146/18,183 = 18,183/x
  3. Step 3: Cross multiply
    12,146x = 18,183 × 18,183
  4. Step 4: Simplify right side
    12,146x = 330,621,489
  5. Step 5: Solve for x
    x = 330,621,489/12,146
  6. Step 6: Final answer
    x = 27,220.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.