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Finding the Third Proportional to 10.27 and 20.74

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Solution

The third proportional to 10.27 and 20.74 is: 41.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.27 : 20.74 = 20.74 : x
  2. Step 2: Convert to fraction form
    10.27/20.74 = 20.74/x
  3. Step 3: Cross multiply
    10.27x = 20.74 × 20.74
  4. Step 4: Simplify right side
    10.27x = 430.24
  5. Step 5: Solve for x
    x = 430.24/10.27
  6. Step 6: Final answer
    x = 41.91

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.