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Finding the Third Proportional to 2,767 and 5,965

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Solution

The third proportional to 2,767 and 5,965 is: 12,859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767 : 5,965 = 5,965 : x
  2. Step 2: Convert to fraction form
    2,767/5,965 = 5,965/x
  3. Step 3: Cross multiply
    2,767x = 5,965 × 5,965
  4. Step 4: Simplify right side
    2,767x = 35,581,225
  5. Step 5: Solve for x
    x = 35,581,225/2,767
  6. Step 6: Final answer
    x = 12,859.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.