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Finding the Third Proportional to 39,676.50 and 61,408.13

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Solution

The third proportional to 39,676.50 and 61,408.13 is: 95,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,676.50 : 61,408.13 = 61,408.13 : x
  2. Step 2: Convert to fraction form
    39,676.50/61,408.13 = 61,408.13/x
  3. Step 3: Cross multiply
    39,676.50x = 61,408.13 × 61,408.13
  4. Step 4: Simplify right side
    39,676.50x = 3,770,957,816.02
  5. Step 5: Solve for x
    x = 3,770,957,816.02/39,676.50
  6. Step 6: Final answer
    x = 95,042.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.