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Finding the Third Proportional to 30,850.69 and 65,593.97

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Solution

The third proportional to 30,850.69 and 65,593.97 is: 139,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850.69 : 65,593.97 = 65,593.97 : x
  2. Step 2: Convert to fraction form
    30,850.69/65,593.97 = 65,593.97/x
  3. Step 3: Cross multiply
    30,850.69x = 65,593.97 × 65,593.97
  4. Step 4: Simplify right side
    30,850.69x = 4,302,568,736.38
  5. Step 5: Solve for x
    x = 4,302,568,736.38/30,850.69
  6. Step 6: Final answer
    x = 139,464.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.