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Finding the Third Proportional to 2.27 and 4.92

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Solution

The third proportional to 2.27 and 4.92 is: 10.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.27 : 4.92 = 4.92 : x
  2. Step 2: Convert to fraction form
    2.27/4.92 = 4.92/x
  3. Step 3: Cross multiply
    2.27x = 4.92 × 4.92
  4. Step 4: Simplify right side
    2.27x = 24.25
  5. Step 5: Solve for x
    x = 24.25/2.27
  6. Step 6: Final answer
    x = 10.66

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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.