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Finding the Third Proportional to 13.50 and 15.44

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Solution

The third proportional to 13.50 and 15.44 is: 17.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.50 : 15.44 = 15.44 : x
  2. Step 2: Convert to fraction form
    13.50/15.44 = 15.44/x
  3. Step 3: Cross multiply
    13.50x = 15.44 × 15.44
  4. Step 4: Simplify right side
    13.50x = 238.32
  5. Step 5: Solve for x
    x = 238.32/13.50
  6. Step 6: Final answer
    x = 17.65

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.