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Finding the Third Proportional to 6.44 and 14.18

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Solution

The third proportional to 6.44 and 14.18 is: 31.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.44 : 14.18 = 14.18 : x
  2. Step 2: Convert to fraction form
    6.44/14.18 = 14.18/x
  3. Step 3: Cross multiply
    6.44x = 14.18 × 14.18
  4. Step 4: Simplify right side
    6.44x = 201.15
  5. Step 5: Solve for x
    x = 201.15/6.44
  6. Step 6: Final answer
    x = 31.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.