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Finding the Third Proportional to 12,431 and 27,225

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Solution

The third proportional to 12,431 and 27,225 is: 59,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431 : 27,225 = 27,225 : x
  2. Step 2: Convert to fraction form
    12,431/27,225 = 27,225/x
  3. Step 3: Cross multiply
    12,431x = 27,225 × 27,225
  4. Step 4: Simplify right side
    12,431x = 741,200,625
  5. Step 5: Solve for x
    x = 741,200,625/12,431
  6. Step 6: Final answer
    x = 59,625.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.