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Finding the Third Proportional to 5.44 and 10.06

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Solution

The third proportional to 5.44 and 10.06 is: 18.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.44 : 10.06 = 10.06 : x
  2. Step 2: Convert to fraction form
    5.44/10.06 = 10.06/x
  3. Step 3: Cross multiply
    5.44x = 10.06 × 10.06
  4. Step 4: Simplify right side
    5.44x = 101.25
  5. Step 5: Solve for x
    x = 101.25/5.44
  6. Step 6: Final answer
    x = 18.62

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.