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Finding the Third Proportional to 11,736 and 24,997

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Solution

The third proportional to 11,736 and 24,997 is: 53,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736 : 24,997 = 24,997 : x
  2. Step 2: Convert to fraction form
    11,736/24,997 = 24,997/x
  3. Step 3: Cross multiply
    11,736x = 24,997 × 24,997
  4. Step 4: Simplify right side
    11,736x = 624,850,009
  5. Step 5: Solve for x
    x = 624,850,009/11,736
  6. Step 6: Final answer
    x = 53,242.16

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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.