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Finding the Third Proportional to 13.64 and 17.44

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Solution

The third proportional to 13.64 and 17.44 is: 22.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.64 : 17.44 = 17.44 : x
  2. Step 2: Convert to fraction form
    13.64/17.44 = 17.44/x
  3. Step 3: Cross multiply
    13.64x = 17.44 × 17.44
  4. Step 4: Simplify right side
    13.64x = 304.07
  5. Step 5: Solve for x
    x = 304.07/13.64
  6. Step 6: Final answer
    x = 22.29

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.