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Finding the Third Proportional to 6,321.80 and 12,305.67

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Solution

The third proportional to 6,321.80 and 12,305.67 is: 23,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.80 : 12,305.67 = 12,305.67 : x
  2. Step 2: Convert to fraction form
    6,321.80/12,305.67 = 12,305.67/x
  3. Step 3: Cross multiply
    6,321.80x = 12,305.67 × 12,305.67
  4. Step 4: Simplify right side
    6,321.80x = 151,429,560.30
  5. Step 5: Solve for x
    x = 151,429,560.30/6,321.80
  6. Step 6: Final answer
    x = 23,953.56

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.