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Finding the Third Proportional to 36,193 and 52,993

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Solution

The third proportional to 36,193 and 52,993 is: 77,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,193 : 52,993 = 52,993 : x
  2. Step 2: Convert to fraction form
    36,193/52,993 = 52,993/x
  3. Step 3: Cross multiply
    36,193x = 52,993 × 52,993
  4. Step 4: Simplify right side
    36,193x = 2,808,258,049
  5. Step 5: Solve for x
    x = 2,808,258,049/36,193
  6. Step 6: Final answer
    x = 77,591.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.