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Finding the Third Proportional to 40,268 and 57,775

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Solution

The third proportional to 40,268 and 57,775 is: 82,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,268 : 57,775 = 57,775 : x
  2. Step 2: Convert to fraction form
    40,268/57,775 = 57,775/x
  3. Step 3: Cross multiply
    40,268x = 57,775 × 57,775
  4. Step 4: Simplify right side
    40,268x = 3,337,950,625
  5. Step 5: Solve for x
    x = 3,337,950,625/40,268
  6. Step 6: Final answer
    x = 82,893.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.