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Finding the Third Proportional to 24.68 and 54.34

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Solution

The third proportional to 24.68 and 54.34 is: 119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.68 : 54.34 = 54.34 : x
  2. Step 2: Convert to fraction form
    24.68/54.34 = 54.34/x
  3. Step 3: Cross multiply
    24.68x = 54.34 × 54.34
  4. Step 4: Simplify right side
    24.68x = 2,953.14
  5. Step 5: Solve for x
    x = 2,953.14/24.68
  6. Step 6: Final answer
    x = 119.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.