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Finding the Third Proportional to 33,640 and 73,104

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Solution

The third proportional to 33,640 and 73,104 is: 158,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,640 : 73,104 = 73,104 : x
  2. Step 2: Convert to fraction form
    33,640/73,104 = 73,104/x
  3. Step 3: Cross multiply
    33,640x = 73,104 × 73,104
  4. Step 4: Simplify right side
    33,640x = 5,344,194,816
  5. Step 5: Solve for x
    x = 5,344,194,816/33,640
  6. Step 6: Final answer
    x = 158,864.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.