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Finding the Third Proportional to 38.25 and 84.06

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Solution

The third proportional to 38.25 and 84.06 is: 184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.25 : 84.06 = 84.06 : x
  2. Step 2: Convert to fraction form
    38.25/84.06 = 84.06/x
  3. Step 3: Cross multiply
    38.25x = 84.06 × 84.06
  4. Step 4: Simplify right side
    38.25x = 7,066.50
  5. Step 5: Solve for x
    x = 7,066.50/38.25
  6. Step 6: Final answer
    x = 184.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.