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Finding the Third Proportional to 38.48 and 84.44

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Solution

The third proportional to 38.48 and 84.44 is: 185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.48 : 84.44 = 84.44 : x
  2. Step 2: Convert to fraction form
    38.48/84.44 = 84.44/x
  3. Step 3: Cross multiply
    38.48x = 84.44 × 84.44
  4. Step 4: Simplify right side
    38.48x = 7,130.27
  5. Step 5: Solve for x
    x = 7,130.27/38.48
  6. Step 6: Final answer
    x = 185.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.