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Finding the Third Proportional to 33,589.13 and 73,318.50

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Solution

The third proportional to 33,589.13 and 73,318.50 is: 160,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,589.13 : 73,318.50 = 73,318.50 : x
  2. Step 2: Convert to fraction form
    33,589.13/73,318.50 = 73,318.50/x
  3. Step 3: Cross multiply
    33,589.13x = 73,318.50 × 73,318.50
  4. Step 4: Simplify right side
    33,589.13x = 5,375,602,442.25
  5. Step 5: Solve for x
    x = 5,375,602,442.25/33,589.13
  6. Step 6: Final answer
    x = 160,039.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.