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Finding the Third Proportional to 12,007 and 17,704

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Solution

The third proportional to 12,007 and 17,704 is: 26,104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007 : 17,704 = 17,704 : x
  2. Step 2: Convert to fraction form
    12,007/17,704 = 17,704/x
  3. Step 3: Cross multiply
    12,007x = 17,704 × 17,704
  4. Step 4: Simplify right side
    12,007x = 313,431,616
  5. Step 5: Solve for x
    x = 313,431,616/12,007
  6. Step 6: Final answer
    x = 26,104.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.