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Finding the Third Proportional to 36,682 and 55,101

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Solution

The third proportional to 36,682 and 55,101 is: 82,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,682 : 55,101 = 55,101 : x
  2. Step 2: Convert to fraction form
    36,682/55,101 = 55,101/x
  3. Step 3: Cross multiply
    36,682x = 55,101 × 55,101
  4. Step 4: Simplify right side
    36,682x = 3,036,120,201
  5. Step 5: Solve for x
    x = 3,036,120,201/36,682
  6. Step 6: Final answer
    x = 82,768.67

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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.