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Finding the Third Proportional to 12,384 and 27,024.75

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Solution

The third proportional to 12,384 and 27,024.75 is: 58,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384 : 27,024.75 = 27,024.75 : x
  2. Step 2: Convert to fraction form
    12,384/27,024.75 = 27,024.75/x
  3. Step 3: Cross multiply
    12,384x = 27,024.75 × 27,024.75
  4. Step 4: Simplify right side
    12,384x = 730,337,112.56
  5. Step 5: Solve for x
    x = 730,337,112.56/12,384
  6. Step 6: Final answer
    x = 58,974.25

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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.