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Finding the Third Proportional to 18,704 and 39,296

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Solution

The third proportional to 18,704 and 39,296 is: 82,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,704 : 39,296 = 39,296 : x
  2. Step 2: Convert to fraction form
    18,704/39,296 = 39,296/x
  3. Step 3: Cross multiply
    18,704x = 39,296 × 39,296
  4. Step 4: Simplify right side
    18,704x = 1,544,175,616
  5. Step 5: Solve for x
    x = 1,544,175,616/18,704
  6. Step 6: Final answer
    x = 82,558.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.