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Finding the Third Proportional to 41,286 and 60,951

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Solution

The third proportional to 41,286 and 60,951 is: 89,982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,286 : 60,951 = 60,951 : x
  2. Step 2: Convert to fraction form
    41,286/60,951 = 60,951/x
  3. Step 3: Cross multiply
    41,286x = 60,951 × 60,951
  4. Step 4: Simplify right side
    41,286x = 3,715,024,401
  5. Step 5: Solve for x
    x = 3,715,024,401/41,286
  6. Step 6: Final answer
    x = 89,982.67

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.