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Finding the Third Proportional to 11.63 and 25.86

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Solution

The third proportional to 11.63 and 25.86 is: 57.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.63 : 25.86 = 25.86 : x
  2. Step 2: Convert to fraction form
    11.63/25.86 = 25.86/x
  3. Step 3: Cross multiply
    11.63x = 25.86 × 25.86
  4. Step 4: Simplify right side
    11.63x = 668.93
  5. Step 5: Solve for x
    x = 668.93/11.63
  6. Step 6: Final answer
    x = 57.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.