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Finding the Third Proportional to 2.27 and 5.40

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Solution

The third proportional to 2.27 and 5.40 is: 12.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.27 : 5.40 = 5.40 : x
  2. Step 2: Convert to fraction form
    2.27/5.40 = 5.40/x
  3. Step 3: Cross multiply
    2.27x = 5.40 × 5.40
  4. Step 4: Simplify right side
    2.27x = 29.11
  5. Step 5: Solve for x
    x = 29.11/2.27
  6. Step 6: Final answer
    x = 12.84

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.