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Finding the Third Proportional to 1,998.70 and 4,361.34

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Solution

The third proportional to 1,998.70 and 4,361.34 is: 9,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.70 : 4,361.34 = 4,361.34 : x
  2. Step 2: Convert to fraction form
    1,998.70/4,361.34 = 4,361.34/x
  3. Step 3: Cross multiply
    1,998.70x = 4,361.34 × 4,361.34
  4. Step 4: Simplify right side
    1,998.70x = 19,021,319.31
  5. Step 5: Solve for x
    x = 19,021,319.31/1,998.70
  6. Step 6: Final answer
    x = 9,516.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.