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Finding the Third Proportional to 12,964.97 and 20,023.41

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Solution

The third proportional to 12,964.97 and 20,023.41 is: 30,924.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.97 : 20,023.41 = 20,023.41 : x
  2. Step 2: Convert to fraction form
    12,964.97/20,023.41 = 20,023.41/x
  3. Step 3: Cross multiply
    12,964.97x = 20,023.41 × 20,023.41
  4. Step 4: Simplify right side
    12,964.97x = 400,936,797.85
  5. Step 5: Solve for x
    x = 400,936,797.85/12,964.97
  6. Step 6: Final answer
    x = 30,924.63

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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.