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Finding the Third Proportional to 4,165 and 4,849

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Solution

The third proportional to 4,165 and 4,849 is: 5,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165 : 4,849 = 4,849 : x
  2. Step 2: Convert to fraction form
    4,165/4,849 = 4,849/x
  3. Step 3: Cross multiply
    4,165x = 4,849 × 4,849
  4. Step 4: Simplify right side
    4,165x = 23,512,801
  5. Step 5: Solve for x
    x = 23,512,801/4,165
  6. Step 6: Final answer
    x = 5,645.33

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.