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Finding the Third Proportional to 43,832 and 65,072

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Solution

The third proportional to 43,832 and 65,072 is: 96,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,832 : 65,072 = 65,072 : x
  2. Step 2: Convert to fraction form
    43,832/65,072 = 65,072/x
  3. Step 3: Cross multiply
    43,832x = 65,072 × 65,072
  4. Step 4: Simplify right side
    43,832x = 4,234,365,184
  5. Step 5: Solve for x
    x = 4,234,365,184/43,832
  6. Step 6: Final answer
    x = 96,604.43

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.