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Finding the Third Proportional to 16,473 and 36,227

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Solution

The third proportional to 16,473 and 36,227 is: 79,669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,473 : 36,227 = 36,227 : x
  2. Step 2: Convert to fraction form
    16,473/36,227 = 36,227/x
  3. Step 3: Cross multiply
    16,473x = 36,227 × 36,227
  4. Step 4: Simplify right side
    16,473x = 1,312,395,529
  5. Step 5: Solve for x
    x = 1,312,395,529/16,473
  6. Step 6: Final answer
    x = 79,669.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.