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Finding the Third Proportional to 20.75 and 51.56

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Solution

The third proportional to 20.75 and 51.56 is: 128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.75 : 51.56 = 51.56 : x
  2. Step 2: Convert to fraction form
    20.75/51.56 = 51.56/x
  3. Step 3: Cross multiply
    20.75x = 51.56 × 51.56
  4. Step 4: Simplify right side
    20.75x = 2,658.69
  5. Step 5: Solve for x
    x = 2,658.69/20.75
  6. Step 6: Final answer
    x = 128.13

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.