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Finding the Third Proportional to 23,974 and 51,836

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Solution

The third proportional to 23,974 and 51,836 is: 112,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,974 : 51,836 = 51,836 : x
  2. Step 2: Convert to fraction form
    23,974/51,836 = 51,836/x
  3. Step 3: Cross multiply
    23,974x = 51,836 × 51,836
  4. Step 4: Simplify right side
    23,974x = 2,686,970,896
  5. Step 5: Solve for x
    x = 2,686,970,896/23,974
  6. Step 6: Final answer
    x = 112,078.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.