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Finding the Third Proportional to 13,131 and 20,183

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Solution

The third proportional to 13,131 and 20,183 is: 31,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,131 : 20,183 = 20,183 : x
  2. Step 2: Convert to fraction form
    13,131/20,183 = 20,183/x
  3. Step 3: Cross multiply
    13,131x = 20,183 × 20,183
  4. Step 4: Simplify right side
    13,131x = 407,353,489
  5. Step 5: Solve for x
    x = 407,353,489/13,131
  6. Step 6: Final answer
    x = 31,022.27

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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.