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Finding the Third Proportional to 5,899 and 11,969

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Solution

The third proportional to 5,899 and 11,969 is: 24,284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899 : 11,969 = 11,969 : x
  2. Step 2: Convert to fraction form
    5,899/11,969 = 11,969/x
  3. Step 3: Cross multiply
    5,899x = 11,969 × 11,969
  4. Step 4: Simplify right side
    5,899x = 143,256,961
  5. Step 5: Solve for x
    x = 143,256,961/5,899
  6. Step 6: Final answer
    x = 24,284.96

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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.