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Finding the Third Proportional to 39,935.53 and 85,908.09

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Solution

The third proportional to 39,935.53 and 85,908.09 is: 184,802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,935.53 : 85,908.09 = 85,908.09 : x
  2. Step 2: Convert to fraction form
    39,935.53/85,908.09 = 85,908.09/x
  3. Step 3: Cross multiply
    39,935.53x = 85,908.09 × 85,908.09
  4. Step 4: Simplify right side
    39,935.53x = 7,380,200,571.76
  5. Step 5: Solve for x
    x = 7,380,200,571.76/39,935.53
  6. Step 6: Final answer
    x = 184,802.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.