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Finding the Third Proportional to 33,742.27 and 73,840.43

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Solution

The third proportional to 33,742.27 and 73,840.43 is: 161,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,742.27 : 73,840.43 = 73,840.43 : x
  2. Step 2: Convert to fraction form
    33,742.27/73,840.43 = 73,840.43/x
  3. Step 3: Cross multiply
    33,742.27x = 73,840.43 × 73,840.43
  4. Step 4: Simplify right side
    33,742.27x = 5,452,409,056.43
  5. Step 5: Solve for x
    x = 5,452,409,056.43/33,742.27
  6. Step 6: Final answer
    x = 161,589.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.