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Finding the Third Proportional to 25,986 and 62,831

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Solution

The third proportional to 25,986 and 62,831 is: 151,917.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,986 : 62,831 = 62,831 : x
  2. Step 2: Convert to fraction form
    25,986/62,831 = 62,831/x
  3. Step 3: Cross multiply
    25,986x = 62,831 × 62,831
  4. Step 4: Simplify right side
    25,986x = 3,947,734,561
  5. Step 5: Solve for x
    x = 3,947,734,561/25,986
  6. Step 6: Final answer
    x = 151,917.75

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.