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Finding the Third Proportional to 33,270 and 50,040

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Solution

The third proportional to 33,270 and 50,040 is: 75,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,270 : 50,040 = 50,040 : x
  2. Step 2: Convert to fraction form
    33,270/50,040 = 50,040/x
  3. Step 3: Cross multiply
    33,270x = 50,040 × 50,040
  4. Step 4: Simplify right side
    33,270x = 2,504,001,600
  5. Step 5: Solve for x
    x = 2,504,001,600/33,270
  6. Step 6: Final answer
    x = 75,263.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.