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Finding the Third Proportional to 11,991 and 24,937

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Solution

The third proportional to 11,991 and 24,937 is: 51,860.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991 : 24,937 = 24,937 : x
  2. Step 2: Convert to fraction form
    11,991/24,937 = 24,937/x
  3. Step 3: Cross multiply
    11,991x = 24,937 × 24,937
  4. Step 4: Simplify right side
    11,991x = 621,853,969
  5. Step 5: Solve for x
    x = 621,853,969/11,991
  6. Step 6: Final answer
    x = 51,860.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.