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Finding the Third Proportional to 13,004.44 and 27,982.69

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Solution

The third proportional to 13,004.44 and 27,982.69 is: 60,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.44 : 27,982.69 = 27,982.69 : x
  2. Step 2: Convert to fraction form
    13,004.44/27,982.69 = 27,982.69/x
  3. Step 3: Cross multiply
    13,004.44x = 27,982.69 × 27,982.69
  4. Step 4: Simplify right side
    13,004.44x = 783,030,799.72
  5. Step 5: Solve for x
    x = 783,030,799.72/13,004.44
  6. Step 6: Final answer
    x = 60,212.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.