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Finding the Third Proportional to 30,791.81 and 66,331.69

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Solution

The third proportional to 30,791.81 and 66,331.69 is: 142,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,791.81 : 66,331.69 = 66,331.69 : x
  2. Step 2: Convert to fraction form
    30,791.81/66,331.69 = 66,331.69/x
  3. Step 3: Cross multiply
    30,791.81x = 66,331.69 × 66,331.69
  4. Step 4: Simplify right side
    30,791.81x = 4,399,892,766.60
  5. Step 5: Solve for x
    x = 4,399,892,766.60/30,791.81
  6. Step 6: Final answer
    x = 142,891.65

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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.