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Finding the Third Proportional to 3,245.91 and 4,331.81

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Solution

The third proportional to 3,245.91 and 4,331.81 is: 5,781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.91 : 4,331.81 = 4,331.81 : x
  2. Step 2: Convert to fraction form
    3,245.91/4,331.81 = 4,331.81/x
  3. Step 3: Cross multiply
    3,245.91x = 4,331.81 × 4,331.81
  4. Step 4: Simplify right side
    3,245.91x = 18,764,599.54
  5. Step 5: Solve for x
    x = 18,764,599.54/3,245.91
  6. Step 6: Final answer
    x = 5,781.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.