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Finding the Third Proportional to 36,821 and 57,419

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Solution

The third proportional to 36,821 and 57,419 is: 89,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,821 : 57,419 = 57,419 : x
  2. Step 2: Convert to fraction form
    36,821/57,419 = 57,419/x
  3. Step 3: Cross multiply
    36,821x = 57,419 × 57,419
  4. Step 4: Simplify right side
    36,821x = 3,296,941,561
  5. Step 5: Solve for x
    x = 3,296,941,561/36,821
  6. Step 6: Final answer
    x = 89,539.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.