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Finding the Third Proportional to 14,183 and 20,302

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Solution

The third proportional to 14,183 and 20,302 is: 29,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183 : 20,302 = 20,302 : x
  2. Step 2: Convert to fraction form
    14,183/20,302 = 20,302/x
  3. Step 3: Cross multiply
    14,183x = 20,302 × 20,302
  4. Step 4: Simplify right side
    14,183x = 412,171,204
  5. Step 5: Solve for x
    x = 412,171,204/14,183
  6. Step 6: Final answer
    x = 29,060.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.