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Finding the Third Proportional to 33,493.06 and 71,842.81

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Solution

The third proportional to 33,493.06 and 71,842.81 is: 154,103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,493.06 : 71,842.81 = 71,842.81 : x
  2. Step 2: Convert to fraction form
    33,493.06/71,842.81 = 71,842.81/x
  3. Step 3: Cross multiply
    33,493.06x = 71,842.81 × 71,842.81
  4. Step 4: Simplify right side
    33,493.06x = 5,161,389,006.32
  5. Step 5: Solve for x
    x = 5,161,389,006.32/33,493.06
  6. Step 6: Final answer
    x = 154,103.22

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