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Finding the Third Proportional to 12,744 and 18,612

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Solution

The third proportional to 12,744 and 18,612 is: 27,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744 : 18,612 = 18,612 : x
  2. Step 2: Convert to fraction form
    12,744/18,612 = 18,612/x
  3. Step 3: Cross multiply
    12,744x = 18,612 × 18,612
  4. Step 4: Simplify right side
    12,744x = 346,406,544
  5. Step 5: Solve for x
    x = 346,406,544/12,744
  6. Step 6: Final answer
    x = 27,181.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.