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Finding the Third Proportional to 12,396.38 and 19,141.31

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Solution

The third proportional to 12,396.38 and 19,141.31 is: 29,556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.38 : 19,141.31 = 19,141.31 : x
  2. Step 2: Convert to fraction form
    12,396.38/19,141.31 = 19,141.31/x
  3. Step 3: Cross multiply
    12,396.38x = 19,141.31 × 19,141.31
  4. Step 4: Simplify right side
    12,396.38x = 366,389,844.22
  5. Step 5: Solve for x
    x = 366,389,844.22/12,396.38
  6. Step 6: Final answer
    x = 29,556.21

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.