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Finding the Third Proportional to 20 and 23.56

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Solution

The third proportional to 20 and 23.56 is: 27.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20 : 23.56 = 23.56 : x
  2. Step 2: Convert to fraction form
    20/23.56 = 23.56/x
  3. Step 3: Cross multiply
    20x = 23.56 × 23.56
  4. Step 4: Simplify right side
    20x = 555.19
  5. Step 5: Solve for x
    x = 555.19/20
  6. Step 6: Final answer
    x = 27.76

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.