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Finding the Third Proportional to 43,920 and 65,760

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Solution

The third proportional to 43,920 and 65,760 is: 98,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,920 : 65,760 = 65,760 : x
  2. Step 2: Convert to fraction form
    43,920/65,760 = 65,760/x
  3. Step 3: Cross multiply
    43,920x = 65,760 × 65,760
  4. Step 4: Simplify right side
    43,920x = 4,324,377,600
  5. Step 5: Solve for x
    x = 4,324,377,600/43,920
  6. Step 6: Final answer
    x = 98,460.33

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