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Finding the Third Proportional to 9.44 and 14.21

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Solution

The third proportional to 9.44 and 14.21 is: 21.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.44 : 14.21 = 14.21 : x
  2. Step 2: Convert to fraction form
    9.44/14.21 = 14.21/x
  3. Step 3: Cross multiply
    9.44x = 14.21 × 14.21
  4. Step 4: Simplify right side
    9.44x = 201.98
  5. Step 5: Solve for x
    x = 201.98/9.44
  6. Step 6: Final answer
    x = 21.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.