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Finding the Third Proportional to 8,511 and 12,469

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Solution

The third proportional to 8,511 and 12,469 is: 18,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511 : 12,469 = 12,469 : x
  2. Step 2: Convert to fraction form
    8,511/12,469 = 12,469/x
  3. Step 3: Cross multiply
    8,511x = 12,469 × 12,469
  4. Step 4: Simplify right side
    8,511x = 155,475,961
  5. Step 5: Solve for x
    x = 155,475,961/8,511
  6. Step 6: Final answer
    x = 18,267.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.