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Finding the Third Proportional to 6,234.47 and 8,660.67

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Solution

The third proportional to 6,234.47 and 8,660.67 is: 12,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.47 : 8,660.67 = 8,660.67 : x
  2. Step 2: Convert to fraction form
    6,234.47/8,660.67 = 8,660.67/x
  3. Step 3: Cross multiply
    6,234.47x = 8,660.67 × 8,660.67
  4. Step 4: Simplify right side
    6,234.47x = 75,007,237.33
  5. Step 5: Solve for x
    x = 75,007,237.33/6,234.47
  6. Step 6: Final answer
    x = 12,031.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.