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Finding the Third Proportional to 16,519 and 36,819

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Solution

The third proportional to 16,519 and 36,819 is: 82,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,519 : 36,819 = 36,819 : x
  2. Step 2: Convert to fraction form
    16,519/36,819 = 36,819/x
  3. Step 3: Cross multiply
    16,519x = 36,819 × 36,819
  4. Step 4: Simplify right side
    16,519x = 1,355,638,761
  5. Step 5: Solve for x
    x = 1,355,638,761/16,519
  6. Step 6: Final answer
    x = 82,065.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.