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Finding the Third Proportional to 2,965 and 6,014

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Solution

The third proportional to 2,965 and 6,014 is: 12,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965 : 6,014 = 6,014 : x
  2. Step 2: Convert to fraction form
    2,965/6,014 = 6,014/x
  3. Step 3: Cross multiply
    2,965x = 6,014 × 6,014
  4. Step 4: Simplify right side
    2,965x = 36,168,196
  5. Step 5: Solve for x
    x = 36,168,196/2,965
  6. Step 6: Final answer
    x = 12,198.38

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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.