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Finding the Third Proportional to 35,523 and 55,193

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Solution

The third proportional to 35,523 and 55,193 is: 85,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,523 : 55,193 = 55,193 : x
  2. Step 2: Convert to fraction form
    35,523/55,193 = 55,193/x
  3. Step 3: Cross multiply
    35,523x = 55,193 × 55,193
  4. Step 4: Simplify right side
    35,523x = 3,046,267,249
  5. Step 5: Solve for x
    x = 3,046,267,249/35,523
  6. Step 6: Final answer
    x = 85,754.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.