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Finding the Third Proportional to 11,524 and 24,993

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Solution

The third proportional to 11,524 and 24,993 is: 54,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524 : 24,993 = 24,993 : x
  2. Step 2: Convert to fraction form
    11,524/24,993 = 24,993/x
  3. Step 3: Cross multiply
    11,524x = 24,993 × 24,993
  4. Step 4: Simplify right side
    11,524x = 624,650,049
  5. Step 5: Solve for x
    x = 624,650,049/11,524
  6. Step 6: Final answer
    x = 54,204.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.