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Finding the Third Proportional to 33,195 and 71,670

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Solution

The third proportional to 33,195 and 71,670 is: 154,739.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,195 : 71,670 = 71,670 : x
  2. Step 2: Convert to fraction form
    33,195/71,670 = 71,670/x
  3. Step 3: Cross multiply
    33,195x = 71,670 × 71,670
  4. Step 4: Simplify right side
    33,195x = 5,136,588,900
  5. Step 5: Solve for x
    x = 5,136,588,900/33,195
  6. Step 6: Final answer
    x = 154,739.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.