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Finding the Third Proportional to 6,331.92 and 12,325.92

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Solution

The third proportional to 6,331.92 and 12,325.92 is: 23,994.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.92 : 12,325.92 = 12,325.92 : x
  2. Step 2: Convert to fraction form
    6,331.92/12,325.92 = 12,325.92/x
  3. Step 3: Cross multiply
    6,331.92x = 12,325.92 × 12,325.92
  4. Step 4: Simplify right side
    6,331.92x = 151,928,350.07
  5. Step 5: Solve for x
    x = 151,928,350.07/6,331.92
  6. Step 6: Final answer
    x = 23,994.03

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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.