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Finding the Third Proportional to 4,100.63 and 5,786.44

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Solution

The third proportional to 4,100.63 and 5,786.44 is: 8,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.63 : 5,786.44 = 5,786.44 : x
  2. Step 2: Convert to fraction form
    4,100.63/5,786.44 = 5,786.44/x
  3. Step 3: Cross multiply
    4,100.63x = 5,786.44 × 5,786.44
  4. Step 4: Simplify right side
    4,100.63x = 33,482,858.94
  5. Step 5: Solve for x
    x = 33,482,858.94/4,100.63
  6. Step 6: Final answer
    x = 8,165.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.