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Finding the Third Proportional to 3,815.44 and 5,694.47

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Solution

The third proportional to 3,815.44 and 5,694.47 is: 8,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.44 : 5,694.47 = 5,694.47 : x
  2. Step 2: Convert to fraction form
    3,815.44/5,694.47 = 5,694.47/x
  3. Step 3: Cross multiply
    3,815.44x = 5,694.47 × 5,694.47
  4. Step 4: Simplify right side
    3,815.44x = 32,426,974.34
  5. Step 5: Solve for x
    x = 32,426,974.34/3,815.44
  6. Step 6: Final answer
    x = 8,498.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.