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Finding the Third Proportional to 39,474 and 83,382.75

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Solution

The third proportional to 39,474 and 83,382.75 is: 176,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,474 : 83,382.75 = 83,382.75 : x
  2. Step 2: Convert to fraction form
    39,474/83,382.75 = 83,382.75/x
  3. Step 3: Cross multiply
    39,474x = 83,382.75 × 83,382.75
  4. Step 4: Simplify right side
    39,474x = 6,952,682,997.56
  5. Step 5: Solve for x
    x = 6,952,682,997.56/39,474
  6. Step 6: Final answer
    x = 176,133.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.