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Finding the Third Proportional to 43,968 and 66,104

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Solution

The third proportional to 43,968 and 66,104 is: 99,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,968 : 66,104 = 66,104 : x
  2. Step 2: Convert to fraction form
    43,968/66,104 = 66,104/x
  3. Step 3: Cross multiply
    43,968x = 66,104 × 66,104
  4. Step 4: Simplify right side
    43,968x = 4,369,738,816
  5. Step 5: Solve for x
    x = 4,369,738,816/43,968
  6. Step 6: Final answer
    x = 99,384.53

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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.