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Finding the Third Proportional to 25.81 and 37.94

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Solution

The third proportional to 25.81 and 37.94 is: 55.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.81 : 37.94 = 37.94 : x
  2. Step 2: Convert to fraction form
    25.81/37.94 = 37.94/x
  3. Step 3: Cross multiply
    25.81x = 37.94 × 37.94
  4. Step 4: Simplify right side
    25.81x = 1,439.25
  5. Step 5: Solve for x
    x = 1,439.25/25.81
  6. Step 6: Final answer
    x = 55.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.