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Finding the Third Proportional to 2.29 and 5.27

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Solution

The third proportional to 2.29 and 5.27 is: 12.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.29 : 5.27 = 5.27 : x
  2. Step 2: Convert to fraction form
    2.29/5.27 = 5.27/x
  3. Step 3: Cross multiply
    2.29x = 5.27 × 5.27
  4. Step 4: Simplify right side
    2.29x = 27.80
  5. Step 5: Solve for x
    x = 27.80/2.29
  6. Step 6: Final answer
    x = 12.12

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.