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Finding the Third Proportional to 5,745.94 and 8,618.91

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Solution

The third proportional to 5,745.94 and 8,618.91 is: 12,928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.94 : 8,618.91 = 8,618.91 : x
  2. Step 2: Convert to fraction form
    5,745.94/8,618.91 = 8,618.91/x
  3. Step 3: Cross multiply
    5,745.94x = 8,618.91 × 8,618.91
  4. Step 4: Simplify right side
    5,745.94x = 74,285,544.95
  5. Step 5: Solve for x
    x = 74,285,544.95/5,745.94
  6. Step 6: Final answer
    x = 12,928.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.