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Finding the Third Proportional to 2,396.25 and 3,801.94

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Solution

The third proportional to 2,396.25 and 3,801.94 is: 6,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.25 : 3,801.94 = 3,801.94 : x
  2. Step 2: Convert to fraction form
    2,396.25/3,801.94 = 3,801.94/x
  3. Step 3: Cross multiply
    2,396.25x = 3,801.94 × 3,801.94
  4. Step 4: Simplify right side
    2,396.25x = 14,454,728.75
  5. Step 5: Solve for x
    x = 14,454,728.75/2,396.25
  6. Step 6: Final answer
    x = 6,032.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.