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Finding the Third Proportional to 33,444 and 50,004

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Solution

The third proportional to 33,444 and 50,004 is: 74,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,444 : 50,004 = 50,004 : x
  2. Step 2: Convert to fraction form
    33,444/50,004 = 50,004/x
  3. Step 3: Cross multiply
    33,444x = 50,004 × 50,004
  4. Step 4: Simplify right side
    33,444x = 2,500,400,016
  5. Step 5: Solve for x
    x = 2,500,400,016/33,444
  6. Step 6: Final answer
    x = 74,763.78

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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.