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Finding the Third Proportional to 33,873.50 and 74,450

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Solution

The third proportional to 33,873.50 and 74,450 is: 163,632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,873.50 : 74,450 = 74,450 : x
  2. Step 2: Convert to fraction form
    33,873.50/74,450 = 74,450/x
  3. Step 3: Cross multiply
    33,873.50x = 74,450 × 74,450
  4. Step 4: Simplify right side
    33,873.50x = 5,542,802,500
  5. Step 5: Solve for x
    x = 5,542,802,500/33,873.50
  6. Step 6: Final answer
    x = 163,632.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.