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Finding the Third Proportional to 12,684 and 27,024

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Solution

The third proportional to 12,684 and 27,024 is: 57,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684 : 27,024 = 27,024 : x
  2. Step 2: Convert to fraction form
    12,684/27,024 = 27,024/x
  3. Step 3: Cross multiply
    12,684x = 27,024 × 27,024
  4. Step 4: Simplify right side
    12,684x = 730,296,576
  5. Step 5: Solve for x
    x = 730,296,576/12,684
  6. Step 6: Final answer
    x = 57,576.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.