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Finding the Third Proportional to 24.81 and 52.81

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Solution

The third proportional to 24.81 and 52.81 is: 112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.81 : 52.81 = 52.81 : x
  2. Step 2: Convert to fraction form
    24.81/52.81 = 52.81/x
  3. Step 3: Cross multiply
    24.81x = 52.81 × 52.81
  4. Step 4: Simplify right side
    24.81x = 2,789.16
  5. Step 5: Solve for x
    x = 2,789.16/24.81
  6. Step 6: Final answer
    x = 112.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.