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Finding the Third Proportional to 5,408.75 and 11,625.38

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Solution

The third proportional to 5,408.75 and 11,625.38 is: 24,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.75 : 11,625.38 = 11,625.38 : x
  2. Step 2: Convert to fraction form
    5,408.75/11,625.38 = 11,625.38/x
  3. Step 3: Cross multiply
    5,408.75x = 11,625.38 × 11,625.38
  4. Step 4: Simplify right side
    5,408.75x = 135,149,343.89
  5. Step 5: Solve for x
    x = 135,149,343.89/5,408.75
  6. Step 6: Final answer
    x = 24,987.17

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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.