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Finding the Third Proportional to 1,727 and 4,601

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Solution

The third proportional to 1,727 and 4,601 is: 12,257.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727 : 4,601 = 4,601 : x
  2. Step 2: Convert to fraction form
    1,727/4,601 = 4,601/x
  3. Step 3: Cross multiply
    1,727x = 4,601 × 4,601
  4. Step 4: Simplify right side
    1,727x = 21,169,201
  5. Step 5: Solve for x
    x = 21,169,201/1,727
  6. Step 6: Final answer
    x = 12,257.79

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.