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Finding the Third Proportional to 23,694 and 35,601

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Solution

The third proportional to 23,694 and 35,601 is: 53,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694 : 35,601 = 35,601 : x
  2. Step 2: Convert to fraction form
    23,694/35,601 = 35,601/x
  3. Step 3: Cross multiply
    23,694x = 35,601 × 35,601
  4. Step 4: Simplify right side
    23,694x = 1,267,431,201
  5. Step 5: Solve for x
    x = 1,267,431,201/23,694
  6. Step 6: Final answer
    x = 53,491.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.