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Finding the Third Proportional to 7,745.63 and 17,450.44

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Solution

The third proportional to 7,745.63 and 17,450.44 is: 39,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.63 : 17,450.44 = 17,450.44 : x
  2. Step 2: Convert to fraction form
    7,745.63/17,450.44 = 17,450.44/x
  3. Step 3: Cross multiply
    7,745.63x = 17,450.44 × 17,450.44
  4. Step 4: Simplify right side
    7,745.63x = 304,517,768.94
  5. Step 5: Solve for x
    x = 304,517,768.94/7,745.63
  6. Step 6: Final answer
    x = 39,314.81

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.