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Finding the Third Proportional to 29,682 and 44,451

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Solution

The third proportional to 29,682 and 44,451 is: 66,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682 : 44,451 = 44,451 : x
  2. Step 2: Convert to fraction form
    29,682/44,451 = 44,451/x
  3. Step 3: Cross multiply
    29,682x = 44,451 × 44,451
  4. Step 4: Simplify right side
    29,682x = 1,975,891,401
  5. Step 5: Solve for x
    x = 1,975,891,401/29,682
  6. Step 6: Final answer
    x = 66,568.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.