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Finding the Third Proportional to 1,396.13 and 2,112.38

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Solution

The third proportional to 1,396.13 and 2,112.38 is: 3,196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.13 : 2,112.38 = 2,112.38 : x
  2. Step 2: Convert to fraction form
    1,396.13/2,112.38 = 2,112.38/x
  3. Step 3: Cross multiply
    1,396.13x = 2,112.38 × 2,112.38
  4. Step 4: Simplify right side
    1,396.13x = 4,462,128.14
  5. Step 5: Solve for x
    x = 4,462,128.14/1,396.13
  6. Step 6: Final answer
    x = 3,196.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.