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Finding the Third Proportional to 12,000 and 25,218

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Solution

The third proportional to 12,000 and 25,218 is: 52,995.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000 : 25,218 = 25,218 : x
  2. Step 2: Convert to fraction form
    12,000/25,218 = 25,218/x
  3. Step 3: Cross multiply
    12,000x = 25,218 × 25,218
  4. Step 4: Simplify right side
    12,000x = 635,947,524
  5. Step 5: Solve for x
    x = 635,947,524/12,000
  6. Step 6: Final answer
    x = 52,995.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.