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Finding the Third Proportional to 25,831 and 54,760

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Solution

The third proportional to 25,831 and 54,760 is: 116,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,831 : 54,760 = 54,760 : x
  2. Step 2: Convert to fraction form
    25,831/54,760 = 54,760/x
  3. Step 3: Cross multiply
    25,831x = 54,760 × 54,760
  4. Step 4: Simplify right side
    25,831x = 2,998,657,600
  5. Step 5: Solve for x
    x = 2,998,657,600/25,831
  6. Step 6: Final answer
    x = 116,087.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.