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Finding the Third Proportional to 38.25 and 57.98

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Solution

The third proportional to 38.25 and 57.98 is: 87.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.25 : 57.98 = 57.98 : x
  2. Step 2: Convert to fraction form
    38.25/57.98 = 57.98/x
  3. Step 3: Cross multiply
    38.25x = 57.98 × 57.98
  4. Step 4: Simplify right side
    38.25x = 3,362.19
  5. Step 5: Solve for x
    x = 3,362.19/38.25
  6. Step 6: Final answer
    x = 87.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.