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Finding the Third Proportional to 4,745.50 and 10,193

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Solution

The third proportional to 4,745.50 and 10,193 is: 21,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.50 : 10,193 = 10,193 : x
  2. Step 2: Convert to fraction form
    4,745.50/10,193 = 10,193/x
  3. Step 3: Cross multiply
    4,745.50x = 10,193 × 10,193
  4. Step 4: Simplify right side
    4,745.50x = 103,897,249
  5. Step 5: Solve for x
    x = 103,897,249/4,745.50
  6. Step 6: Final answer
    x = 21,893.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.