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Finding the Third Proportional to 2,171 and 4,663

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Solution

The third proportional to 2,171 and 4,663 is: 10,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171 : 4,663 = 4,663 : x
  2. Step 2: Convert to fraction form
    2,171/4,663 = 4,663/x
  3. Step 3: Cross multiply
    2,171x = 4,663 × 4,663
  4. Step 4: Simplify right side
    2,171x = 21,743,569
  5. Step 5: Solve for x
    x = 21,743,569/2,171
  6. Step 6: Final answer
    x = 10,015.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.