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Finding the Third Proportional to 1,830.94 and 4,800.09

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Solution

The third proportional to 1,830.94 and 4,800.09 is: 12,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.94 : 4,800.09 = 4,800.09 : x
  2. Step 2: Convert to fraction form
    1,830.94/4,800.09 = 4,800.09/x
  3. Step 3: Cross multiply
    1,830.94x = 4,800.09 × 4,800.09
  4. Step 4: Simplify right side
    1,830.94x = 23,040,900.01
  5. Step 5: Solve for x
    x = 23,040,900.01/1,830.94
  6. Step 6: Final answer
    x = 12,584.21

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.