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Finding the Third Proportional to 23,936 and 51,427

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Solution

The third proportional to 23,936 and 51,427 is: 110,491.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,936 : 51,427 = 51,427 : x
  2. Step 2: Convert to fraction form
    23,936/51,427 = 51,427/x
  3. Step 3: Cross multiply
    23,936x = 51,427 × 51,427
  4. Step 4: Simplify right side
    23,936x = 2,644,736,329
  5. Step 5: Solve for x
    x = 2,644,736,329/23,936
  6. Step 6: Final answer
    x = 110,491.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.