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Finding the Third Proportional to 38.80 and 84.54

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Solution

The third proportional to 38.80 and 84.54 is: 184.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.80 : 84.54 = 84.54 : x
  2. Step 2: Convert to fraction form
    38.80/84.54 = 84.54/x
  3. Step 3: Cross multiply
    38.80x = 84.54 × 84.54
  4. Step 4: Simplify right side
    38.80x = 7,146.98
  5. Step 5: Solve for x
    x = 7,146.98/38.80
  6. Step 6: Final answer
    x = 184.20

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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.