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Finding the Third Proportional to 3,183 and 4,821

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Solution

The third proportional to 3,183 and 4,821 is: 7,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183 : 4,821 = 4,821 : x
  2. Step 2: Convert to fraction form
    3,183/4,821 = 4,821/x
  3. Step 3: Cross multiply
    3,183x = 4,821 × 4,821
  4. Step 4: Simplify right side
    3,183x = 23,242,041
  5. Step 5: Solve for x
    x = 23,242,041/3,183
  6. Step 6: Final answer
    x = 7,301.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.