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Finding the Third Proportional to 12,208 and 17,296

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Solution

The third proportional to 12,208 and 17,296 is: 24,504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208 : 17,296 = 17,296 : x
  2. Step 2: Convert to fraction form
    12,208/17,296 = 17,296/x
  3. Step 3: Cross multiply
    12,208x = 17,296 × 17,296
  4. Step 4: Simplify right side
    12,208x = 299,151,616
  5. Step 5: Solve for x
    x = 299,151,616/12,208
  6. Step 6: Final answer
    x = 24,504.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.