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Finding the Third Proportional to 33,670 and 52,134

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Solution

The third proportional to 33,670 and 52,134 is: 80,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,670 : 52,134 = 52,134 : x
  2. Step 2: Convert to fraction form
    33,670/52,134 = 52,134/x
  3. Step 3: Cross multiply
    33,670x = 52,134 × 52,134
  4. Step 4: Simplify right side
    33,670x = 2,717,953,956
  5. Step 5: Solve for x
    x = 2,717,953,956/33,670
  6. Step 6: Final answer
    x = 80,723.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.