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Finding the Third Proportional to 2,965 and 5,999

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Solution

The third proportional to 2,965 and 5,999 is: 12,137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965 : 5,999 = 5,999 : x
  2. Step 2: Convert to fraction form
    2,965/5,999 = 5,999/x
  3. Step 3: Cross multiply
    2,965x = 5,999 × 5,999
  4. Step 4: Simplify right side
    2,965x = 35,988,001
  5. Step 5: Solve for x
    x = 35,988,001/2,965
  6. Step 6: Final answer
    x = 12,137.61

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.