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Finding the Third Proportional to 49,450 and 73,616

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Solution

The third proportional to 49,450 and 73,616 is: 109,591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,450 : 73,616 = 73,616 : x
  2. Step 2: Convert to fraction form
    49,450/73,616 = 73,616/x
  3. Step 3: Cross multiply
    49,450x = 73,616 × 73,616
  4. Step 4: Simplify right side
    49,450x = 5,419,315,456
  5. Step 5: Solve for x
    x = 5,419,315,456/49,450
  6. Step 6: Final answer
    x = 109,591.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.