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Finding the Third Proportional to 6,321.80 and 12,353.13

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Solution

The third proportional to 6,321.80 and 12,353.13 is: 24,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.80 : 12,353.13 = 12,353.13 : x
  2. Step 2: Convert to fraction form
    6,321.80/12,353.13 = 12,353.13/x
  3. Step 3: Cross multiply
    6,321.80x = 12,353.13 × 12,353.13
  4. Step 4: Simplify right side
    6,321.80x = 152,599,890.28
  5. Step 5: Solve for x
    x = 152,599,890.28/6,321.80
  6. Step 6: Final answer
    x = 24,138.69

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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.