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Finding the Third Proportional to 3,407 and 4,849

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Solution

The third proportional to 3,407 and 4,849 is: 6,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407 : 4,849 = 4,849 : x
  2. Step 2: Convert to fraction form
    3,407/4,849 = 4,849/x
  3. Step 3: Cross multiply
    3,407x = 4,849 × 4,849
  4. Step 4: Simplify right side
    3,407x = 23,512,801
  5. Step 5: Solve for x
    x = 23,512,801/3,407
  6. Step 6: Final answer
    x = 6,901.32

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.