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Finding the Third Proportional to 11,544 and 24,462

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Solution

The third proportional to 11,544 and 24,462 is: 51,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544 : 24,462 = 24,462 : x
  2. Step 2: Convert to fraction form
    11,544/24,462 = 24,462/x
  3. Step 3: Cross multiply
    11,544x = 24,462 × 24,462
  4. Step 4: Simplify right side
    11,544x = 598,389,444
  5. Step 5: Solve for x
    x = 598,389,444/11,544
  6. Step 6: Final answer
    x = 51,835.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.