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Finding the Third Proportional to 48,813 and 73,027

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Solution

The third proportional to 48,813 and 73,027 is: 109,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,813 : 73,027 = 73,027 : x
  2. Step 2: Convert to fraction form
    48,813/73,027 = 73,027/x
  3. Step 3: Cross multiply
    48,813x = 73,027 × 73,027
  4. Step 4: Simplify right side
    48,813x = 5,332,942,729
  5. Step 5: Solve for x
    x = 5,332,942,729/48,813
  6. Step 6: Final answer
    x = 109,252.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.