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Finding the Third Proportional to 33,993 and 73,251

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Solution

The third proportional to 33,993 and 73,251 is: 157,847.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,993 : 73,251 = 73,251 : x
  2. Step 2: Convert to fraction form
    33,993/73,251 = 73,251/x
  3. Step 3: Cross multiply
    33,993x = 73,251 × 73,251
  4. Step 4: Simplify right side
    33,993x = 5,365,709,001
  5. Step 5: Solve for x
    x = 5,365,709,001/33,993
  6. Step 6: Final answer
    x = 157,847.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.