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Finding the Third Proportional to 33,040 and 50,190

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Solution

The third proportional to 33,040 and 50,190 is: 76,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,040 : 50,190 = 50,190 : x
  2. Step 2: Convert to fraction form
    33,040/50,190 = 50,190/x
  3. Step 3: Cross multiply
    33,040x = 50,190 × 50,190
  4. Step 4: Simplify right side
    33,040x = 2,519,036,100
  5. Step 5: Solve for x
    x = 2,519,036,100/33,040
  6. Step 6: Final answer
    x = 76,242.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.