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Finding the Third Proportional to 13,144.78 and 18,444.27

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Solution

The third proportional to 13,144.78 and 18,444.27 is: 25,880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144.78 : 18,444.27 = 18,444.27 : x
  2. Step 2: Convert to fraction form
    13,144.78/18,444.27 = 18,444.27/x
  3. Step 3: Cross multiply
    13,144.78x = 18,444.27 × 18,444.27
  4. Step 4: Simplify right side
    13,144.78x = 340,191,078.54
  5. Step 5: Solve for x
    x = 340,191,078.54/13,144.78
  6. Step 6: Final answer
    x = 25,880.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.