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Finding the Third Proportional to 4.26 and 7.27

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Solution

The third proportional to 4.26 and 7.27 is: 12.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.26 : 7.27 = 7.27 : x
  2. Step 2: Convert to fraction form
    4.26/7.27 = 7.27/x
  3. Step 3: Cross multiply
    4.26x = 7.27 × 7.27
  4. Step 4: Simplify right side
    4.26x = 52.83
  5. Step 5: Solve for x
    x = 52.83/4.26
  6. Step 6: Final answer
    x = 12.40

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.