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Finding the Third Proportional to 36,233 and 41,701

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Solution

The third proportional to 36,233 and 41,701 is: 47,994.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,233 : 41,701 = 41,701 : x
  2. Step 2: Convert to fraction form
    36,233/41,701 = 41,701/x
  3. Step 3: Cross multiply
    36,233x = 41,701 × 41,701
  4. Step 4: Simplify right side
    36,233x = 1,738,973,401
  5. Step 5: Solve for x
    x = 1,738,973,401/36,233
  6. Step 6: Final answer
    x = 47,994.19

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.