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Finding the Third Proportional to 43,676.25 and 65,874.38

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Solution

The third proportional to 43,676.25 and 65,874.38 is: 99,354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,676.25 : 65,874.38 = 65,874.38 : x
  2. Step 2: Convert to fraction form
    43,676.25/65,874.38 = 65,874.38/x
  3. Step 3: Cross multiply
    43,676.25x = 65,874.38 × 65,874.38
  4. Step 4: Simplify right side
    43,676.25x = 4,339,433,281.64
  5. Step 5: Solve for x
    x = 4,339,433,281.64/43,676.25
  6. Step 6: Final answer
    x = 99,354.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.