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Finding the Third Proportional to 4,235.41 and 8,806.85

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Solution

The third proportional to 4,235.41 and 8,806.85 is: 18,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.41 : 8,806.85 = 8,806.85 : x
  2. Step 2: Convert to fraction form
    4,235.41/8,806.85 = 8,806.85/x
  3. Step 3: Cross multiply
    4,235.41x = 8,806.85 × 8,806.85
  4. Step 4: Simplify right side
    4,235.41x = 77,560,634.44
  5. Step 5: Solve for x
    x = 77,560,634.44/4,235.41
  6. Step 6: Final answer
    x = 18,312.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.