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Finding the Third Proportional to 3,747.94 and 5,921.44

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Solution

The third proportional to 3,747.94 and 5,921.44 is: 9,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.94 : 5,921.44 = 5,921.44 : x
  2. Step 2: Convert to fraction form
    3,747.94/5,921.44 = 5,921.44/x
  3. Step 3: Cross multiply
    3,747.94x = 5,921.44 × 5,921.44
  4. Step 4: Simplify right side
    3,747.94x = 35,063,422.07
  5. Step 5: Solve for x
    x = 35,063,422.07/3,747.94
  6. Step 6: Final answer
    x = 9,355.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.