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Finding the Third Proportional to 4,285.41 and 6,121.83

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Solution

The third proportional to 4,285.41 and 6,121.83 is: 8,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.41 : 6,121.83 = 6,121.83 : x
  2. Step 2: Convert to fraction form
    4,285.41/6,121.83 = 6,121.83/x
  3. Step 3: Cross multiply
    4,285.41x = 6,121.83 × 6,121.83
  4. Step 4: Simplify right side
    4,285.41x = 37,476,779.59
  5. Step 5: Solve for x
    x = 37,476,779.59/4,285.41
  6. Step 6: Final answer
    x = 8,745.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.