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Finding the Third Proportional to 14,236 and 31,244

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Solution

The third proportional to 14,236 and 31,244 is: 68,571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,236 : 31,244 = 31,244 : x
  2. Step 2: Convert to fraction form
    14,236/31,244 = 31,244/x
  3. Step 3: Cross multiply
    14,236x = 31,244 × 31,244
  4. Step 4: Simplify right side
    14,236x = 976,187,536
  5. Step 5: Solve for x
    x = 976,187,536/14,236
  6. Step 6: Final answer
    x = 68,571.76

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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.