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Finding the Third Proportional to 12,183 and 15,519

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Solution

The third proportional to 12,183 and 15,519 is: 19,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183 : 15,519 = 15,519 : x
  2. Step 2: Convert to fraction form
    12,183/15,519 = 15,519/x
  3. Step 3: Cross multiply
    12,183x = 15,519 × 15,519
  4. Step 4: Simplify right side
    12,183x = 240,839,361
  5. Step 5: Solve for x
    x = 240,839,361/12,183
  6. Step 6: Final answer
    x = 19,768.48

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.