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Finding the Third Proportional to 4,558 and 9,601

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Solution

The third proportional to 4,558 and 9,601 is: 20,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558 : 9,601 = 9,601 : x
  2. Step 2: Convert to fraction form
    4,558/9,601 = 9,601/x
  3. Step 3: Cross multiply
    4,558x = 9,601 × 9,601
  4. Step 4: Simplify right side
    4,558x = 92,179,201
  5. Step 5: Solve for x
    x = 92,179,201/4,558
  6. Step 6: Final answer
    x = 20,223.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.