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Finding the Third Proportional to 43,035.38 and 65,791.69

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Solution

The third proportional to 43,035.38 and 65,791.69 is: 100,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,035.38 : 65,791.69 = 65,791.69 : x
  2. Step 2: Convert to fraction form
    43,035.38/65,791.69 = 65,791.69/x
  3. Step 3: Cross multiply
    43,035.38x = 65,791.69 × 65,791.69
  4. Step 4: Simplify right side
    43,035.38x = 4,328,546,144.10
  5. Step 5: Solve for x
    x = 4,328,546,144.10/43,035.38
  6. Step 6: Final answer
    x = 100,581.12

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.