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Finding the Third Proportional to 33,215.06 and 70,735.78

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Solution

The third proportional to 33,215.06 and 70,735.78 is: 150,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,215.06 : 70,735.78 = 70,735.78 : x
  2. Step 2: Convert to fraction form
    33,215.06/70,735.78 = 70,735.78/x
  3. Step 3: Cross multiply
    33,215.06x = 70,735.78 × 70,735.78
  4. Step 4: Simplify right side
    33,215.06x = 5,003,550,749.05
  5. Step 5: Solve for x
    x = 5,003,550,749.05/33,215.06
  6. Step 6: Final answer
    x = 150,641.02

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.