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Finding the Third Proportional to 11.08 and 24.63

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Solution

The third proportional to 11.08 and 24.63 is: 54.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.08 : 24.63 = 24.63 : x
  2. Step 2: Convert to fraction form
    11.08/24.63 = 24.63/x
  3. Step 3: Cross multiply
    11.08x = 24.63 × 24.63
  4. Step 4: Simplify right side
    11.08x = 606.78
  5. Step 5: Solve for x
    x = 606.78/11.08
  6. Step 6: Final answer
    x = 54.74

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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.