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Finding the Third Proportional to 38,709.75 and 56,571.38

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Solution

The third proportional to 38,709.75 and 56,571.38 is: 82,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,709.75 : 56,571.38 = 56,571.38 : x
  2. Step 2: Convert to fraction form
    38,709.75/56,571.38 = 56,571.38/x
  3. Step 3: Cross multiply
    38,709.75x = 56,571.38 × 56,571.38
  4. Step 4: Simplify right side
    38,709.75x = 3,200,320,469.39
  5. Step 5: Solve for x
    x = 3,200,320,469.39/38,709.75
  6. Step 6: Final answer
    x = 82,674.79

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.