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Finding the Third Proportional to 12,338.44 and 27,077.34

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Solution

The third proportional to 12,338.44 and 27,077.34 is: 59,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.44 : 27,077.34 = 27,077.34 : x
  2. Step 2: Convert to fraction form
    12,338.44/27,077.34 = 27,077.34/x
  3. Step 3: Cross multiply
    12,338.44x = 27,077.34 × 27,077.34
  4. Step 4: Simplify right side
    12,338.44x = 733,182,544.56
  5. Step 5: Solve for x
    x = 733,182,544.56/12,338.44
  6. Step 6: Final answer
    x = 59,422.64

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