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Finding the Third Proportional to 2.40 and 5.27

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Solution

The third proportional to 2.40 and 5.27 is: 11.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.40 : 5.27 = 5.27 : x
  2. Step 2: Convert to fraction form
    2.40/5.27 = 5.27/x
  3. Step 3: Cross multiply
    2.40x = 5.27 × 5.27
  4. Step 4: Simplify right side
    2.40x = 27.81
  5. Step 5: Solve for x
    x = 27.81/2.40
  6. Step 6: Final answer
    x = 11.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.