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Finding the Third Proportional to 40,601.25 and 86,532.75

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Solution

The third proportional to 40,601.25 and 86,532.75 is: 184,425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,601.25 : 86,532.75 = 86,532.75 : x
  2. Step 2: Convert to fraction form
    40,601.25/86,532.75 = 86,532.75/x
  3. Step 3: Cross multiply
    40,601.25x = 86,532.75 × 86,532.75
  4. Step 4: Simplify right side
    40,601.25x = 7,487,916,822.56
  5. Step 5: Solve for x
    x = 7,487,916,822.56/40,601.25
  6. Step 6: Final answer
    x = 184,425.77

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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.