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Finding the Third Proportional to 1,764.44 and 3,836.43

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Solution

The third proportional to 1,764.44 and 3,836.43 is: 8,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.44 : 3,836.43 = 3,836.43 : x
  2. Step 2: Convert to fraction form
    1,764.44/3,836.43 = 3,836.43/x
  3. Step 3: Cross multiply
    1,764.44x = 3,836.43 × 3,836.43
  4. Step 4: Simplify right side
    1,764.44x = 14,718,162.78
  5. Step 5: Solve for x
    x = 14,718,162.78/1,764.44
  6. Step 6: Final answer
    x = 8,341.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.