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Finding the Third Proportional to 11.64 and 18.49

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Solution

The third proportional to 11.64 and 18.49 is: 29.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.64 : 18.49 = 18.49 : x
  2. Step 2: Convert to fraction form
    11.64/18.49 = 18.49/x
  3. Step 3: Cross multiply
    11.64x = 18.49 × 18.49
  4. Step 4: Simplify right side
    11.64x = 342.05
  5. Step 5: Solve for x
    x = 342.05/11.64
  6. Step 6: Final answer
    x = 29.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.