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Finding the Third Proportional to 2,669 and 5,857

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Solution

The third proportional to 2,669 and 5,857 is: 12,852.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669 : 5,857 = 5,857 : x
  2. Step 2: Convert to fraction form
    2,669/5,857 = 5,857/x
  3. Step 3: Cross multiply
    2,669x = 5,857 × 5,857
  4. Step 4: Simplify right side
    2,669x = 34,304,449
  5. Step 5: Solve for x
    x = 34,304,449/2,669
  6. Step 6: Final answer
    x = 12,852.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.