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Finding the Third Proportional to 20.91 and 34.27

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Solution

The third proportional to 20.91 and 34.27 is: 56.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.91 : 34.27 = 34.27 : x
  2. Step 2: Convert to fraction form
    20.91/34.27 = 34.27/x
  3. Step 3: Cross multiply
    20.91x = 34.27 × 34.27
  4. Step 4: Simplify right side
    20.91x = 1,174.13
  5. Step 5: Solve for x
    x = 1,174.13/20.91
  6. Step 6: Final answer
    x = 56.16

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.