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Finding the Third Proportional to 12,744 and 14,364

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Solution

The third proportional to 12,744 and 14,364 is: 16,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744 : 14,364 = 14,364 : x
  2. Step 2: Convert to fraction form
    12,744/14,364 = 14,364/x
  3. Step 3: Cross multiply
    12,744x = 14,364 × 14,364
  4. Step 4: Simplify right side
    12,744x = 206,324,496
  5. Step 5: Solve for x
    x = 206,324,496/12,744
  6. Step 6: Final answer
    x = 16,189.93

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.