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Finding the Third Proportional to 24.03 and 52.86

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Solution

The third proportional to 24.03 and 52.86 is: 116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.03 : 52.86 = 52.86 : x
  2. Step 2: Convert to fraction form
    24.03/52.86 = 52.86/x
  3. Step 3: Cross multiply
    24.03x = 52.86 × 52.86
  4. Step 4: Simplify right side
    24.03x = 2,794.14
  5. Step 5: Solve for x
    x = 2,794.14/24.03
  6. Step 6: Final answer
    x = 116.29

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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.