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Finding the Third Proportional to 5.27 and 11.46

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Solution

The third proportional to 5.27 and 11.46 is: 24.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.27 : 11.46 = 11.46 : x
  2. Step 2: Convert to fraction form
    5.27/11.46 = 11.46/x
  3. Step 3: Cross multiply
    5.27x = 11.46 × 11.46
  4. Step 4: Simplify right side
    5.27x = 131.35
  5. Step 5: Solve for x
    x = 131.35/5.27
  6. Step 6: Final answer
    x = 24.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.