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Finding the Third Proportional to 12,551 and 20,183

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Solution

The third proportional to 12,551 and 20,183 is: 32,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551 : 20,183 = 20,183 : x
  2. Step 2: Convert to fraction form
    12,551/20,183 = 20,183/x
  3. Step 3: Cross multiply
    12,551x = 20,183 × 20,183
  4. Step 4: Simplify right side
    12,551x = 407,353,489
  5. Step 5: Solve for x
    x = 407,353,489/12,551
  6. Step 6: Final answer
    x = 32,455.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.