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Finding the Third Proportional to 15.94 and 25.84

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Solution

The third proportional to 15.94 and 25.84 is: 41.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.94 : 25.84 = 25.84 : x
  2. Step 2: Convert to fraction form
    15.94/25.84 = 25.84/x
  3. Step 3: Cross multiply
    15.94x = 25.84 × 25.84
  4. Step 4: Simplify right side
    15.94x = 667.90
  5. Step 5: Solve for x
    x = 667.90/15.94
  6. Step 6: Final answer
    x = 41.91

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.