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Finding the Third Proportional to 12,814 and 18,619

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Solution

The third proportional to 12,814 and 18,619 is: 27,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814 : 18,619 = 18,619 : x
  2. Step 2: Convert to fraction form
    12,814/18,619 = 18,619/x
  3. Step 3: Cross multiply
    12,814x = 18,619 × 18,619
  4. Step 4: Simplify right side
    12,814x = 346,667,161
  5. Step 5: Solve for x
    x = 346,667,161/12,814
  6. Step 6: Final answer
    x = 27,053.78

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.