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Finding the Third Proportional to 2,450 and 4,868

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Solution

The third proportional to 2,450 and 4,868 is: 9,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450 : 4,868 = 4,868 : x
  2. Step 2: Convert to fraction form
    2,450/4,868 = 4,868/x
  3. Step 3: Cross multiply
    2,450x = 4,868 × 4,868
  4. Step 4: Simplify right side
    2,450x = 23,697,424
  5. Step 5: Solve for x
    x = 23,697,424/2,450
  6. Step 6: Final answer
    x = 9,672.42

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.