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Finding the Third Proportional to 36,938 and 50,223

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Solution

The third proportional to 36,938 and 50,223 is: 68,286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,938 : 50,223 = 50,223 : x
  2. Step 2: Convert to fraction form
    36,938/50,223 = 50,223/x
  3. Step 3: Cross multiply
    36,938x = 50,223 × 50,223
  4. Step 4: Simplify right side
    36,938x = 2,522,349,729
  5. Step 5: Solve for x
    x = 2,522,349,729/36,938
  6. Step 6: Final answer
    x = 68,286.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.