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Finding the Third Proportional to 41,408.25 and 65,674.50

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Solution

The third proportional to 41,408.25 and 65,674.50 is: 104,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,408.25 : 65,674.50 = 65,674.50 : x
  2. Step 2: Convert to fraction form
    41,408.25/65,674.50 = 65,674.50/x
  3. Step 3: Cross multiply
    41,408.25x = 65,674.50 × 65,674.50
  4. Step 4: Simplify right side
    41,408.25x = 4,313,139,950.25
  5. Step 5: Solve for x
    x = 4,313,139,950.25/41,408.25
  6. Step 6: Final answer
    x = 104,161.37

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.