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Finding the Third Proportional to 13,314 and 27,024

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Solution

The third proportional to 13,314 and 27,024 is: 54,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314 : 27,024 = 27,024 : x
  2. Step 2: Convert to fraction form
    13,314/27,024 = 27,024/x
  3. Step 3: Cross multiply
    13,314x = 27,024 × 27,024
  4. Step 4: Simplify right side
    13,314x = 730,296,576
  5. Step 5: Solve for x
    x = 730,296,576/13,314
  6. Step 6: Final answer
    x = 54,851.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.