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Finding the Third Proportional to 39,433.69 and 86,004.56

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Solution

The third proportional to 39,433.69 and 86,004.56 is: 187,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,433.69 : 86,004.56 = 86,004.56 : x
  2. Step 2: Convert to fraction form
    39,433.69/86,004.56 = 86,004.56/x
  3. Step 3: Cross multiply
    39,433.69x = 86,004.56 × 86,004.56
  4. Step 4: Simplify right side
    39,433.69x = 7,396,784,770.82
  5. Step 5: Solve for x
    x = 7,396,784,770.82/39,433.69
  6. Step 6: Final answer
    x = 187,575.27

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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.