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Finding the Third Proportional to 29,819 and 63,193

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Solution

The third proportional to 29,819 and 63,193 is: 133,919.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,819 : 63,193 = 63,193 : x
  2. Step 2: Convert to fraction form
    29,819/63,193 = 63,193/x
  3. Step 3: Cross multiply
    29,819x = 63,193 × 63,193
  4. Step 4: Simplify right side
    29,819x = 3,993,355,249
  5. Step 5: Solve for x
    x = 3,993,355,249/29,819
  6. Step 6: Final answer
    x = 133,919.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.