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Finding the Third Proportional to 12.50 and 20.56

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Solution

The third proportional to 12.50 and 20.56 is: 33.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.50 : 20.56 = 20.56 : x
  2. Step 2: Convert to fraction form
    12.50/20.56 = 20.56/x
  3. Step 3: Cross multiply
    12.50x = 20.56 × 20.56
  4. Step 4: Simplify right side
    12.50x = 422.82
  5. Step 5: Solve for x
    x = 422.82/12.50
  6. Step 6: Final answer
    x = 33.83

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.