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Finding the Third Proportional to 43,617.75 and 65,424.75

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Solution

The third proportional to 43,617.75 and 65,424.75 is: 98,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,617.75 : 65,424.75 = 65,424.75 : x
  2. Step 2: Convert to fraction form
    43,617.75/65,424.75 = 65,424.75/x
  3. Step 3: Cross multiply
    43,617.75x = 65,424.75 × 65,424.75
  4. Step 4: Simplify right side
    43,617.75x = 4,280,397,912.56
  5. Step 5: Solve for x
    x = 4,280,397,912.56/43,617.75
  6. Step 6: Final answer
    x = 98,134.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.