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Finding the Third Proportional to 7.28 and 11.64

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Solution

The third proportional to 7.28 and 11.64 is: 18.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.28 : 11.64 = 11.64 : x
  2. Step 2: Convert to fraction form
    7.28/11.64 = 11.64/x
  3. Step 3: Cross multiply
    7.28x = 11.64 × 11.64
  4. Step 4: Simplify right side
    7.28x = 135.41
  5. Step 5: Solve for x
    x = 135.41/7.28
  6. Step 6: Final answer
    x = 18.61

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.