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Finding the Third Proportional to 36,027 and 49,362.75

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Solution

The third proportional to 36,027 and 49,362.75 is: 67,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,027 : 49,362.75 = 49,362.75 : x
  2. Step 2: Convert to fraction form
    36,027/49,362.75 = 49,362.75/x
  3. Step 3: Cross multiply
    36,027x = 49,362.75 × 49,362.75
  4. Step 4: Simplify right side
    36,027x = 2,436,681,087.56
  5. Step 5: Solve for x
    x = 2,436,681,087.56/36,027
  6. Step 6: Final answer
    x = 67,634.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.