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Finding the Third Proportional to 20,571.47 and 28,909.41

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Solution

The third proportional to 20,571.47 and 28,909.41 is: 40,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571.47 : 28,909.41 = 28,909.41 : x
  2. Step 2: Convert to fraction form
    20,571.47/28,909.41 = 28,909.41/x
  3. Step 3: Cross multiply
    20,571.47x = 28,909.41 × 28,909.41
  4. Step 4: Simplify right side
    20,571.47x = 835,753,769.73
  5. Step 5: Solve for x
    x = 835,753,769.73/20,571.47
  6. Step 6: Final answer
    x = 40,626.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.