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Finding the Third Proportional to 13,517 and 31,571

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Solution

The third proportional to 13,517 and 31,571 is: 73,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517 : 31,571 = 31,571 : x
  2. Step 2: Convert to fraction form
    13,517/31,571 = 31,571/x
  3. Step 3: Cross multiply
    13,517x = 31,571 × 31,571
  4. Step 4: Simplify right side
    13,517x = 996,728,041
  5. Step 5: Solve for x
    x = 996,728,041/13,517
  6. Step 6: Final answer
    x = 73,738.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.