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Finding the Third Proportional to 10.06 and 13.44

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Solution

The third proportional to 10.06 and 13.44 is: 17.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.06 : 13.44 = 13.44 : x
  2. Step 2: Convert to fraction form
    10.06/13.44 = 13.44/x
  3. Step 3: Cross multiply
    10.06x = 13.44 × 13.44
  4. Step 4: Simplify right side
    10.06x = 180.57
  5. Step 5: Solve for x
    x = 180.57/10.06
  6. Step 6: Final answer
    x = 17.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.