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Finding the Third Proportional to 11.94 and 25.72

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Solution

The third proportional to 11.94 and 25.72 is: 55.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.94 : 25.72 = 25.72 : x
  2. Step 2: Convert to fraction form
    11.94/25.72 = 25.72/x
  3. Step 3: Cross multiply
    11.94x = 25.72 × 25.72
  4. Step 4: Simplify right side
    11.94x = 661.45
  5. Step 5: Solve for x
    x = 661.45/11.94
  6. Step 6: Final answer
    x = 55.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.