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Finding the Third Proportional to 17,704 and 25,436

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Solution

The third proportional to 17,704 and 25,436 is: 36,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704 : 25,436 = 25,436 : x
  2. Step 2: Convert to fraction form
    17,704/25,436 = 25,436/x
  3. Step 3: Cross multiply
    17,704x = 25,436 × 25,436
  4. Step 4: Simplify right side
    17,704x = 646,990,096
  5. Step 5: Solve for x
    x = 646,990,096/17,704
  6. Step 6: Final answer
    x = 36,544.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.