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Finding the Third Proportional to 23,856 and 51,815

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Solution

The third proportional to 23,856 and 51,815 is: 112,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856 : 51,815 = 51,815 : x
  2. Step 2: Convert to fraction form
    23,856/51,815 = 51,815/x
  3. Step 3: Cross multiply
    23,856x = 51,815 × 51,815
  4. Step 4: Simplify right side
    23,856x = 2,684,794,225
  5. Step 5: Solve for x
    x = 2,684,794,225/23,856
  6. Step 6: Final answer
    x = 112,541.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.