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Finding the Third Proportional to 33,157.69 and 67,847.63

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Solution

The third proportional to 33,157.69 and 67,847.63 is: 138,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,157.69 : 67,847.63 = 67,847.63 : x
  2. Step 2: Convert to fraction form
    33,157.69/67,847.63 = 67,847.63/x
  3. Step 3: Cross multiply
    33,157.69x = 67,847.63 × 67,847.63
  4. Step 4: Simplify right side
    33,157.69x = 4,603,300,218.14
  5. Step 5: Solve for x
    x = 4,603,300,218.14/33,157.69
  6. Step 6: Final answer
    x = 138,830.56

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.