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Finding the Third Proportional to 3,893.06 and 5,838.33

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Solution

The third proportional to 3,893.06 and 5,838.33 is: 8,755.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.06 : 5,838.33 = 5,838.33 : x
  2. Step 2: Convert to fraction form
    3,893.06/5,838.33 = 5,838.33/x
  3. Step 3: Cross multiply
    3,893.06x = 5,838.33 × 5,838.33
  4. Step 4: Simplify right side
    3,893.06x = 34,086,075.30
  5. Step 5: Solve for x
    x = 34,086,075.30/3,893.06
  6. Step 6: Final answer
    x = 8,755.59

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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.