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Finding the Third Proportional to 4,042.69 and 5,408.44

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Solution

The third proportional to 4,042.69 and 5,408.44 is: 7,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042.69 : 5,408.44 = 5,408.44 : x
  2. Step 2: Convert to fraction form
    4,042.69/5,408.44 = 5,408.44/x
  3. Step 3: Cross multiply
    4,042.69x = 5,408.44 × 5,408.44
  4. Step 4: Simplify right side
    4,042.69x = 29,251,196.19
  5. Step 5: Solve for x
    x = 29,251,196.19/4,042.69
  6. Step 6: Final answer
    x = 7,235.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.