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Finding the Third Proportional to 12,704 and 16,864

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Solution

The third proportional to 12,704 and 16,864 is: 22,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704 : 16,864 = 16,864 : x
  2. Step 2: Convert to fraction form
    12,704/16,864 = 16,864/x
  3. Step 3: Cross multiply
    12,704x = 16,864 × 16,864
  4. Step 4: Simplify right side
    12,704x = 284,394,496
  5. Step 5: Solve for x
    x = 284,394,496/12,704
  6. Step 6: Final answer
    x = 22,386.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.