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Finding the Third Proportional to 15,763 and 34,193

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Solution

The third proportional to 15,763 and 34,193 is: 74,171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,763 : 34,193 = 34,193 : x
  2. Step 2: Convert to fraction form
    15,763/34,193 = 34,193/x
  3. Step 3: Cross multiply
    15,763x = 34,193 × 34,193
  4. Step 4: Simplify right side
    15,763x = 1,169,161,249
  5. Step 5: Solve for x
    x = 1,169,161,249/15,763
  6. Step 6: Final answer
    x = 74,171.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.