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Finding the Third Proportional to 5,553.29 and 13,109.54

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Solution

The third proportional to 5,553.29 and 13,109.54 is: 30,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,553.29 : 13,109.54 = 13,109.54 : x
  2. Step 2: Convert to fraction form
    5,553.29/13,109.54 = 13,109.54/x
  3. Step 3: Cross multiply
    5,553.29x = 13,109.54 × 13,109.54
  4. Step 4: Simplify right side
    5,553.29x = 171,860,078.44
  5. Step 5: Solve for x
    x = 171,860,078.44/5,553.29
  6. Step 6: Final answer
    x = 30,947.46

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.