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Finding the Third Proportional to 11.74 and 25.32

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Solution

The third proportional to 11.74 and 25.32 is: 54.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.74 : 25.32 = 25.32 : x
  2. Step 2: Convert to fraction form
    11.74/25.32 = 25.32/x
  3. Step 3: Cross multiply
    11.74x = 25.32 × 25.32
  4. Step 4: Simplify right side
    11.74x = 641.03
  5. Step 5: Solve for x
    x = 641.03/11.74
  6. Step 6: Final answer
    x = 54.61

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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.