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Finding the Third Proportional to 20,313 and 41,183

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Solution

The third proportional to 20,313 and 41,183 is: 83,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313 : 41,183 = 41,183 : x
  2. Step 2: Convert to fraction form
    20,313/41,183 = 41,183/x
  3. Step 3: Cross multiply
    20,313x = 41,183 × 41,183
  4. Step 4: Simplify right side
    20,313x = 1,696,039,489
  5. Step 5: Solve for x
    x = 1,696,039,489/20,313
  6. Step 6: Final answer
    x = 83,495.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.