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Finding the Third Proportional to 8.44 and 18.35

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Solution

The third proportional to 8.44 and 18.35 is: 39.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.44 : 18.35 = 18.35 : x
  2. Step 2: Convert to fraction form
    8.44/18.35 = 18.35/x
  3. Step 3: Cross multiply
    8.44x = 18.35 × 18.35
  4. Step 4: Simplify right side
    8.44x = 336.78
  5. Step 5: Solve for x
    x = 336.78/8.44
  6. Step 6: Final answer
    x = 39.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.