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Finding the Third Proportional to 33,999.75 and 73,464.75

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Solution

The third proportional to 33,999.75 and 73,464.75 is: 158,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,999.75 : 73,464.75 = 73,464.75 : x
  2. Step 2: Convert to fraction form
    33,999.75/73,464.75 = 73,464.75/x
  3. Step 3: Cross multiply
    33,999.75x = 73,464.75 × 73,464.75
  4. Step 4: Simplify right side
    33,999.75x = 5,397,069,492.56
  5. Step 5: Solve for x
    x = 5,397,069,492.56/33,999.75
  6. Step 6: Final answer
    x = 158,738.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.