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Finding the Third Proportional to 2.27 and 5.12

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Solution

The third proportional to 2.27 and 5.12 is: 11.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.27 : 5.12 = 5.12 : x
  2. Step 2: Convert to fraction form
    2.27/5.12 = 5.12/x
  3. Step 3: Cross multiply
    2.27x = 5.12 × 5.12
  4. Step 4: Simplify right side
    2.27x = 26.24
  5. Step 5: Solve for x
    x = 26.24/2.27
  6. Step 6: Final answer
    x = 11.57

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.