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Finding the Third Proportional to 16,327 and 36,302

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Solution

The third proportional to 16,327 and 36,302 is: 80,715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,327 : 36,302 = 36,302 : x
  2. Step 2: Convert to fraction form
    16,327/36,302 = 36,302/x
  3. Step 3: Cross multiply
    16,327x = 36,302 × 36,302
  4. Step 4: Simplify right side
    16,327x = 1,317,835,204
  5. Step 5: Solve for x
    x = 1,317,835,204/16,327
  6. Step 6: Final answer
    x = 80,715.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.