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Finding the Third Proportional to 2,450.25 and 4,773.94

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Solution

The third proportional to 2,450.25 and 4,773.94 is: 9,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.25 : 4,773.94 = 4,773.94 : x
  2. Step 2: Convert to fraction form
    2,450.25/4,773.94 = 4,773.94/x
  3. Step 3: Cross multiply
    2,450.25x = 4,773.94 × 4,773.94
  4. Step 4: Simplify right side
    2,450.25x = 22,790,479.25
  5. Step 5: Solve for x
    x = 22,790,479.25/2,450.25
  6. Step 6: Final answer
    x = 9,301.29

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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.