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Finding the Third Proportional to 5.92 and 10.27

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Solution

The third proportional to 5.92 and 10.27 is: 17.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.92 : 10.27 = 10.27 : x
  2. Step 2: Convert to fraction form
    5.92/10.27 = 10.27/x
  3. Step 3: Cross multiply
    5.92x = 10.27 × 10.27
  4. Step 4: Simplify right side
    5.92x = 105.38
  5. Step 5: Solve for x
    x = 105.38/5.92
  6. Step 6: Final answer
    x = 17.81

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.