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Finding the Third Proportional to 24,231 and 51,965

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Solution

The third proportional to 24,231 and 51,965 is: 111,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231 : 51,965 = 51,965 : x
  2. Step 2: Convert to fraction form
    24,231/51,965 = 51,965/x
  3. Step 3: Cross multiply
    24,231x = 51,965 × 51,965
  4. Step 4: Simplify right side
    24,231x = 2,700,361,225
  5. Step 5: Solve for x
    x = 2,700,361,225/24,231
  6. Step 6: Final answer
    x = 111,442.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.