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Finding the Third Proportional to 4.42 and 9.71

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Solution

The third proportional to 4.42 and 9.71 is: 21.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.42 : 9.71 = 9.71 : x
  2. Step 2: Convert to fraction form
    4.42/9.71 = 9.71/x
  3. Step 3: Cross multiply
    4.42x = 9.71 × 9.71
  4. Step 4: Simplify right side
    4.42x = 94.32
  5. Step 5: Solve for x
    x = 94.32/4.42
  6. Step 6: Final answer
    x = 21.36

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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.