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Finding the Third Proportional to 1,797.82 and 3,853.83

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Solution

The third proportional to 1,797.82 and 3,853.83 is: 8,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.82 : 3,853.83 = 3,853.83 : x
  2. Step 2: Convert to fraction form
    1,797.82/3,853.83 = 3,853.83/x
  3. Step 3: Cross multiply
    1,797.82x = 3,853.83 × 3,853.83
  4. Step 4: Simplify right side
    1,797.82x = 14,851,991.22
  5. Step 5: Solve for x
    x = 14,851,991.22/1,797.82
  6. Step 6: Final answer
    x = 8,261.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.