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Finding the Third Proportional to 13,813.03 and 33,427.69

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Solution

The third proportional to 13,813.03 and 33,427.69 is: 80,895.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.03 : 33,427.69 = 33,427.69 : x
  2. Step 2: Convert to fraction form
    13,813.03/33,427.69 = 33,427.69/x
  3. Step 3: Cross multiply
    13,813.03x = 33,427.69 × 33,427.69
  4. Step 4: Simplify right side
    13,813.03x = 1,117,410,291.60
  5. Step 5: Solve for x
    x = 1,117,410,291.60/13,813.03
  6. Step 6: Final answer
    x = 80,895.37

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.