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Finding the Third Proportional to 25,408.69 and 37,745.44

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Solution

The third proportional to 25,408.69 and 37,745.44 is: 56,072.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408.69 : 37,745.44 = 37,745.44 : x
  2. Step 2: Convert to fraction form
    25,408.69/37,745.44 = 37,745.44/x
  3. Step 3: Cross multiply
    25,408.69x = 37,745.44 × 37,745.44
  4. Step 4: Simplify right side
    25,408.69x = 1,424,718,052.07
  5. Step 5: Solve for x
    x = 1,424,718,052.07/25,408.69
  6. Step 6: Final answer
    x = 56,072.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.