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Finding the Third Proportional to 6,271 and 13,981

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Solution

The third proportional to 6,271 and 13,981 is: 31,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271 : 13,981 = 13,981 : x
  2. Step 2: Convert to fraction form
    6,271/13,981 = 13,981/x
  3. Step 3: Cross multiply
    6,271x = 13,981 × 13,981
  4. Step 4: Simplify right side
    6,271x = 195,468,361
  5. Step 5: Solve for x
    x = 195,468,361/6,271
  6. Step 6: Final answer
    x = 31,170.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.