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Finding the Third Proportional to 12,027.50 and 25,831

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Solution

The third proportional to 12,027.50 and 25,831 is: 55,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.50 : 25,831 = 25,831 : x
  2. Step 2: Convert to fraction form
    12,027.50/25,831 = 25,831/x
  3. Step 3: Cross multiply
    12,027.50x = 25,831 × 25,831
  4. Step 4: Simplify right side
    12,027.50x = 667,240,561
  5. Step 5: Solve for x
    x = 667,240,561/12,027.50
  6. Step 6: Final answer
    x = 55,476.25

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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.