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Finding the Third Proportional to 18,736 and 40,223

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Solution

The third proportional to 18,736 and 40,223 is: 86,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,736 : 40,223 = 40,223 : x
  2. Step 2: Convert to fraction form
    18,736/40,223 = 40,223/x
  3. Step 3: Cross multiply
    18,736x = 40,223 × 40,223
  4. Step 4: Simplify right side
    18,736x = 1,617,889,729
  5. Step 5: Solve for x
    x = 1,617,889,729/18,736
  6. Step 6: Final answer
    x = 86,351.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.