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Finding the Third Proportional to 13,378.75 and 20,571.38

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Solution

The third proportional to 13,378.75 and 20,571.38 is: 31,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.75 : 20,571.38 = 20,571.38 : x
  2. Step 2: Convert to fraction form
    13,378.75/20,571.38 = 20,571.38/x
  3. Step 3: Cross multiply
    13,378.75x = 20,571.38 × 20,571.38
  4. Step 4: Simplify right side
    13,378.75x = 423,181,469.39
  5. Step 5: Solve for x
    x = 423,181,469.39/13,378.75
  6. Step 6: Final answer
    x = 31,630.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.