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Finding the Third Proportional to 12,380 and 27,018

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Solution

The third proportional to 12,380 and 27,018 is: 58,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380 : 27,018 = 27,018 : x
  2. Step 2: Convert to fraction form
    12,380/27,018 = 27,018/x
  3. Step 3: Cross multiply
    12,380x = 27,018 × 27,018
  4. Step 4: Simplify right side
    12,380x = 729,972,324
  5. Step 5: Solve for x
    x = 729,972,324/12,380
  6. Step 6: Final answer
    x = 58,963.84

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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.