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Finding the Third Proportional to 40,950 and 57,799

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Solution

The third proportional to 40,950 and 57,799 is: 81,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,950 : 57,799 = 57,799 : x
  2. Step 2: Convert to fraction form
    40,950/57,799 = 57,799/x
  3. Step 3: Cross multiply
    40,950x = 57,799 × 57,799
  4. Step 4: Simplify right side
    40,950x = 3,340,724,401
  5. Step 5: Solve for x
    x = 3,340,724,401/40,950
  6. Step 6: Final answer
    x = 81,580.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.