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Finding the Third Proportional to 8,469 and 16,481

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Solution

The third proportional to 8,469 and 16,481 is: 32,072.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469 : 16,481 = 16,481 : x
  2. Step 2: Convert to fraction form
    8,469/16,481 = 16,481/x
  3. Step 3: Cross multiply
    8,469x = 16,481 × 16,481
  4. Step 4: Simplify right side
    8,469x = 271,623,361
  5. Step 5: Solve for x
    x = 271,623,361/8,469
  6. Step 6: Final answer
    x = 32,072.66

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.