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Finding the Third Proportional to 4,195.73 and 5,881.64

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Solution

The third proportional to 4,195.73 and 5,881.64 is: 8,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.73 : 5,881.64 = 5,881.64 : x
  2. Step 2: Convert to fraction form
    4,195.73/5,881.64 = 5,881.64/x
  3. Step 3: Cross multiply
    4,195.73x = 5,881.64 × 5,881.64
  4. Step 4: Simplify right side
    4,195.73x = 34,593,696.44
  5. Step 5: Solve for x
    x = 34,593,696.44/4,195.73
  6. Step 6: Final answer
    x = 8,244.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.