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Finding the Third Proportional to 17,670 and 23,193

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Solution

The third proportional to 17,670 and 23,193 is: 30,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670 : 23,193 = 23,193 : x
  2. Step 2: Convert to fraction form
    17,670/23,193 = 23,193/x
  3. Step 3: Cross multiply
    17,670x = 23,193 × 23,193
  4. Step 4: Simplify right side
    17,670x = 537,915,249
  5. Step 5: Solve for x
    x = 537,915,249/17,670
  6. Step 6: Final answer
    x = 30,442.29

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.