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Finding the Third Proportional to 8,597 and 18,601

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Solution

The third proportional to 8,597 and 18,601 is: 40,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597 : 18,601 = 18,601 : x
  2. Step 2: Convert to fraction form
    8,597/18,601 = 18,601/x
  3. Step 3: Cross multiply
    8,597x = 18,601 × 18,601
  4. Step 4: Simplify right side
    8,597x = 345,997,201
  5. Step 5: Solve for x
    x = 345,997,201/8,597
  6. Step 6: Final answer
    x = 40,246.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.