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Finding the Third Proportional to 4.62 and 9.44

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Solution

The third proportional to 4.62 and 9.44 is: 19.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.62 : 9.44 = 9.44 : x
  2. Step 2: Convert to fraction form
    4.62/9.44 = 9.44/x
  3. Step 3: Cross multiply
    4.62x = 9.44 × 9.44
  4. Step 4: Simplify right side
    4.62x = 89.11
  5. Step 5: Solve for x
    x = 89.11/4.62
  6. Step 6: Final answer
    x = 19.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.