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Finding the Third Proportional to 24.94 and 54.84

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Solution

The third proportional to 24.94 and 54.84 is: 120.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.94 : 54.84 = 54.84 : x
  2. Step 2: Convert to fraction form
    24.94/54.84 = 54.84/x
  3. Step 3: Cross multiply
    24.94x = 54.84 × 54.84
  4. Step 4: Simplify right side
    24.94x = 3,007.84
  5. Step 5: Solve for x
    x = 3,007.84/24.94
  6. Step 6: Final answer
    x = 120.62

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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.