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Finding the Third Proportional to 4,821 and 10,662

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Solution

The third proportional to 4,821 and 10,662 is: 23,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821 : 10,662 = 10,662 : x
  2. Step 2: Convert to fraction form
    4,821/10,662 = 10,662/x
  3. Step 3: Cross multiply
    4,821x = 10,662 × 10,662
  4. Step 4: Simplify right side
    4,821x = 113,678,244
  5. Step 5: Solve for x
    x = 113,678,244/4,821
  6. Step 6: Final answer
    x = 23,579.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.