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Finding the Third Proportional to 25.44 and 38.19

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Solution

The third proportional to 25.44 and 38.19 is: 57.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.44 : 38.19 = 38.19 : x
  2. Step 2: Convert to fraction form
    25.44/38.19 = 38.19/x
  3. Step 3: Cross multiply
    25.44x = 38.19 × 38.19
  4. Step 4: Simplify right side
    25.44x = 1,458.29
  5. Step 5: Solve for x
    x = 1,458.29/25.44
  6. Step 6: Final answer
    x = 57.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.