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Finding the Third Proportional to 33,170 and 50,235

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Solution

The third proportional to 33,170 and 50,235 is: 76,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,170 : 50,235 = 50,235 : x
  2. Step 2: Convert to fraction form
    33,170/50,235 = 50,235/x
  3. Step 3: Cross multiply
    33,170x = 50,235 × 50,235
  4. Step 4: Simplify right side
    33,170x = 2,523,555,225
  5. Step 5: Solve for x
    x = 2,523,555,225/33,170
  6. Step 6: Final answer
    x = 76,079.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.