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Finding the Third Proportional to 11.79 and 25.48

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Solution

The third proportional to 11.79 and 25.48 is: 55.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.79 : 25.48 = 25.48 : x
  2. Step 2: Convert to fraction form
    11.79/25.48 = 25.48/x
  3. Step 3: Cross multiply
    11.79x = 25.48 × 25.48
  4. Step 4: Simplify right side
    11.79x = 649.06
  5. Step 5: Solve for x
    x = 649.06/11.79
  6. Step 6: Final answer
    x = 55.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.