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Finding the Third Proportional to 1,996.31 and 4,235.63

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Solution

The third proportional to 1,996.31 and 4,235.63 is: 8,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.31 : 4,235.63 = 4,235.63 : x
  2. Step 2: Convert to fraction form
    1,996.31/4,235.63 = 4,235.63/x
  3. Step 3: Cross multiply
    1,996.31x = 4,235.63 × 4,235.63
  4. Step 4: Simplify right side
    1,996.31x = 17,940,519.14
  5. Step 5: Solve for x
    x = 17,940,519.14/1,996.31
  6. Step 6: Final answer
    x = 8,986.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.