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Finding the Third Proportional to 8,101.27 and 16,760.67

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Solution

The third proportional to 8,101.27 and 16,760.67 is: 34,676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.27 : 16,760.67 = 16,760.67 : x
  2. Step 2: Convert to fraction form
    8,101.27/16,760.67 = 16,760.67/x
  3. Step 3: Cross multiply
    8,101.27x = 16,760.67 × 16,760.67
  4. Step 4: Simplify right side
    8,101.27x = 280,920,121.70
  5. Step 5: Solve for x
    x = 280,920,121.70/8,101.27
  6. Step 6: Final answer
    x = 34,676.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.