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Finding the Third Proportional to 11,907 and 24,147

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Solution

The third proportional to 11,907 and 24,147 is: 48,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907 : 24,147 = 24,147 : x
  2. Step 2: Convert to fraction form
    11,907/24,147 = 24,147/x
  3. Step 3: Cross multiply
    11,907x = 24,147 × 24,147
  4. Step 4: Simplify right side
    11,907x = 583,077,609
  5. Step 5: Solve for x
    x = 583,077,609/11,907
  6. Step 6: Final answer
    x = 48,969.31

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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.