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Finding the Third Proportional to 33,994.69 and 73,181.81

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Solution

The third proportional to 33,994.69 and 73,181.81 is: 157,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,994.69 : 73,181.81 = 73,181.81 : x
  2. Step 2: Convert to fraction form
    33,994.69/73,181.81 = 73,181.81/x
  3. Step 3: Cross multiply
    33,994.69x = 73,181.81 × 73,181.81
  4. Step 4: Simplify right side
    33,994.69x = 5,355,577,680.79
  5. Step 5: Solve for x
    x = 5,355,577,680.79/33,994.69
  6. Step 6: Final answer
    x = 157,541.61

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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.