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Finding the Third Proportional to 2,961 and 6,849

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Solution

The third proportional to 2,961 and 6,849 is: 15,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961 : 6,849 = 6,849 : x
  2. Step 2: Convert to fraction form
    2,961/6,849 = 6,849/x
  3. Step 3: Cross multiply
    2,961x = 6,849 × 6,849
  4. Step 4: Simplify right side
    2,961x = 46,908,801
  5. Step 5: Solve for x
    x = 46,908,801/2,961
  6. Step 6: Final answer
    x = 15,842.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.