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Finding the Third Proportional to 3,505 and 4,676

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Solution

The third proportional to 3,505 and 4,676 is: 6,238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505 : 4,676 = 4,676 : x
  2. Step 2: Convert to fraction form
    3,505/4,676 = 4,676/x
  3. Step 3: Cross multiply
    3,505x = 4,676 × 4,676
  4. Step 4: Simplify right side
    3,505x = 21,864,976
  5. Step 5: Solve for x
    x = 21,864,976/3,505
  6. Step 6: Final answer
    x = 6,238.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.