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Finding the Third Proportional to 22,633 and 50,450

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Solution

The third proportional to 22,633 and 50,450 is: 112,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633 : 50,450 = 50,450 : x
  2. Step 2: Convert to fraction form
    22,633/50,450 = 50,450/x
  3. Step 3: Cross multiply
    22,633x = 50,450 × 50,450
  4. Step 4: Simplify right side
    22,633x = 2,545,202,500
  5. Step 5: Solve for x
    x = 2,545,202,500/22,633
  6. Step 6: Final answer
    x = 112,455.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.