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Finding the Third Proportional to 36,774 and 51,993

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Solution

The third proportional to 36,774 and 51,993 is: 73,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,774 : 51,993 = 51,993 : x
  2. Step 2: Convert to fraction form
    36,774/51,993 = 51,993/x
  3. Step 3: Cross multiply
    36,774x = 51,993 × 51,993
  4. Step 4: Simplify right side
    36,774x = 2,703,272,049
  5. Step 5: Solve for x
    x = 2,703,272,049/36,774
  6. Step 6: Final answer
    x = 73,510.42

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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.