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Finding the Third Proportional to 1,836.26 and 3,770.30

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Solution

The third proportional to 1,836.26 and 3,770.30 is: 7,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.26 : 3,770.30 = 3,770.30 : x
  2. Step 2: Convert to fraction form
    1,836.26/3,770.30 = 3,770.30/x
  3. Step 3: Cross multiply
    1,836.26x = 3,770.30 × 3,770.30
  4. Step 4: Simplify right side
    1,836.26x = 14,215,138.53
  5. Step 5: Solve for x
    x = 14,215,138.53/1,836.26
  6. Step 6: Final answer
    x = 7,741.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.