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Finding the Third Proportional to 33,999.75 and 73,262.81

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Solution

The third proportional to 33,999.75 and 73,262.81 is: 157,867.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,999.75 : 73,262.81 = 73,262.81 : x
  2. Step 2: Convert to fraction form
    33,999.75/73,262.81 = 73,262.81/x
  3. Step 3: Cross multiply
    33,999.75x = 73,262.81 × 73,262.81
  4. Step 4: Simplify right side
    33,999.75x = 5,367,439,695.41
  5. Step 5: Solve for x
    x = 5,367,439,695.41/33,999.75
  6. Step 6: Final answer
    x = 157,867.03

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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.