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Finding the Third Proportional to 1,996.21 and 4,365.46

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Solution

The third proportional to 1,996.21 and 4,365.46 is: 9,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.21 : 4,365.46 = 4,365.46 : x
  2. Step 2: Convert to fraction form
    1,996.21/4,365.46 = 4,365.46/x
  3. Step 3: Cross multiply
    1,996.21x = 4,365.46 × 4,365.46
  4. Step 4: Simplify right side
    1,996.21x = 19,057,215.09
  5. Step 5: Solve for x
    x = 19,057,215.09/1,996.21
  6. Step 6: Final answer
    x = 9,546.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.