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Finding the Third Proportional to 39,676.50 and 61,404.75

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Solution

The third proportional to 39,676.50 and 61,404.75 is: 95,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,676.50 : 61,404.75 = 61,404.75 : x
  2. Step 2: Convert to fraction form
    39,676.50/61,404.75 = 61,404.75/x
  3. Step 3: Cross multiply
    39,676.50x = 61,404.75 × 61,404.75
  4. Step 4: Simplify right side
    39,676.50x = 3,770,543,322.56
  5. Step 5: Solve for x
    x = 3,770,543,322.56/39,676.50
  6. Step 6: Final answer
    x = 95,032.16

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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.