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Finding the Third Proportional to 13,230.56 and 20,267.44

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Solution

The third proportional to 13,230.56 and 20,267.44 is: 31,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230.56 : 20,267.44 = 20,267.44 : x
  2. Step 2: Convert to fraction form
    13,230.56/20,267.44 = 20,267.44/x
  3. Step 3: Cross multiply
    13,230.56x = 20,267.44 × 20,267.44
  4. Step 4: Simplify right side
    13,230.56x = 410,769,022.82
  5. Step 5: Solve for x
    x = 410,769,022.82/13,230.56
  6. Step 6: Final answer
    x = 31,046.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.