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Finding the Third Proportional to 1,361.63 and 2,112.38

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Solution

The third proportional to 1,361.63 and 2,112.38 is: 3,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.63 : 2,112.38 = 2,112.38 : x
  2. Step 2: Convert to fraction form
    1,361.63/2,112.38 = 2,112.38/x
  3. Step 3: Cross multiply
    1,361.63x = 2,112.38 × 2,112.38
  4. Step 4: Simplify right side
    1,361.63x = 4,462,128.14
  5. Step 5: Solve for x
    x = 4,462,128.14/1,361.63
  6. Step 6: Final answer
    x = 3,277.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.