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Finding the Third Proportional to 7.27 and 14.54

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Solution

The third proportional to 7.27 and 14.54 is: 29.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.27 : 14.54 = 14.54 : x
  2. Step 2: Convert to fraction form
    7.27/14.54 = 14.54/x
  3. Step 3: Cross multiply
    7.27x = 14.54 × 14.54
  4. Step 4: Simplify right side
    7.27x = 211.32
  5. Step 5: Solve for x
    x = 211.32/7.27
  6. Step 6: Final answer
    x = 29.07

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.