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Finding the Third Proportional to 39,441.94 and 86,772.38

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Solution

The third proportional to 39,441.94 and 86,772.38 is: 190,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,441.94 : 86,772.38 = 86,772.38 : x
  2. Step 2: Convert to fraction form
    39,441.94/86,772.38 = 86,772.38/x
  3. Step 3: Cross multiply
    39,441.94x = 86,772.38 × 86,772.38
  4. Step 4: Simplify right side
    39,441.94x = 7,529,445,063.14
  5. Step 5: Solve for x
    x = 7,529,445,063.14/39,441.94
  6. Step 6: Final answer
    x = 190,899.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.