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Finding the Third Proportional to 8,271 and 16,981

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Solution

The third proportional to 8,271 and 16,981 is: 34,863.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271 : 16,981 = 16,981 : x
  2. Step 2: Convert to fraction form
    8,271/16,981 = 16,981/x
  3. Step 3: Cross multiply
    8,271x = 16,981 × 16,981
  4. Step 4: Simplify right side
    8,271x = 288,354,361
  5. Step 5: Solve for x
    x = 288,354,361/8,271
  6. Step 6: Final answer
    x = 34,863.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.