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Finding the Third Proportional to 33,774 and 51,993

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Solution

The third proportional to 33,774 and 51,993 is: 80,040.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,774 : 51,993 = 51,993 : x
  2. Step 2: Convert to fraction form
    33,774/51,993 = 51,993/x
  3. Step 3: Cross multiply
    33,774x = 51,993 × 51,993
  4. Step 4: Simplify right side
    33,774x = 2,703,272,049
  5. Step 5: Solve for x
    x = 2,703,272,049/33,774
  6. Step 6: Final answer
    x = 80,040.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.