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Finding the Third Proportional to 12,684 and 26,997

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Solution

The third proportional to 12,684 and 26,997 is: 57,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684 : 26,997 = 26,997 : x
  2. Step 2: Convert to fraction form
    12,684/26,997 = 26,997/x
  3. Step 3: Cross multiply
    12,684x = 26,997 × 26,997
  4. Step 4: Simplify right side
    12,684x = 728,838,009
  5. Step 5: Solve for x
    x = 728,838,009/12,684
  6. Step 6: Final answer
    x = 57,461.21

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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.