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Finding the Third Proportional to 33,622 and 73,159

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Solution

The third proportional to 33,622 and 73,159 is: 159,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,622 : 73,159 = 73,159 : x
  2. Step 2: Convert to fraction form
    33,622/73,159 = 73,159/x
  3. Step 3: Cross multiply
    33,622x = 73,159 × 73,159
  4. Step 4: Simplify right side
    33,622x = 5,352,239,281
  5. Step 5: Solve for x
    x = 5,352,239,281/33,622
  6. Step 6: Final answer
    x = 159,188.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.