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Finding the Third Proportional to 40,960.69 and 83,424.94

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Solution

The third proportional to 40,960.69 and 83,424.94 is: 169,912.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,960.69 : 83,424.94 = 83,424.94 : x
  2. Step 2: Convert to fraction form
    40,960.69/83,424.94 = 83,424.94/x
  3. Step 3: Cross multiply
    40,960.69x = 83,424.94 × 83,424.94
  4. Step 4: Simplify right side
    40,960.69x = 6,959,720,196.88
  5. Step 5: Solve for x
    x = 6,959,720,196.88/40,960.69
  6. Step 6: Final answer
    x = 169,912.19

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.