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Finding the Third Proportional to 39,764.67 and 85,755.09

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Solution

The third proportional to 39,764.67 and 85,755.09 is: 184,936.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,764.67 : 85,755.09 = 85,755.09 : x
  2. Step 2: Convert to fraction form
    39,764.67/85,755.09 = 85,755.09/x
  3. Step 3: Cross multiply
    39,764.67x = 85,755.09 × 85,755.09
  4. Step 4: Simplify right side
    39,764.67x = 7,353,936,104.07
  5. Step 5: Solve for x
    x = 7,353,936,104.07/39,764.67
  6. Step 6: Final answer
    x = 184,936.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.