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Finding the Third Proportional to 12,419 and 27,021

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Solution

The third proportional to 12,419 and 27,021 is: 58,791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419 : 27,021 = 27,021 : x
  2. Step 2: Convert to fraction form
    12,419/27,021 = 27,021/x
  3. Step 3: Cross multiply
    12,419x = 27,021 × 27,021
  4. Step 4: Simplify right side
    12,419x = 730,134,441
  5. Step 5: Solve for x
    x = 730,134,441/12,419
  6. Step 6: Final answer
    x = 58,791.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.