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Finding the Third Proportional to 43,317 and 65,601

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Solution

The third proportional to 43,317 and 65,601 is: 99,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,317 : 65,601 = 65,601 : x
  2. Step 2: Convert to fraction form
    43,317/65,601 = 65,601/x
  3. Step 3: Cross multiply
    43,317x = 65,601 × 65,601
  4. Step 4: Simplify right side
    43,317x = 4,303,491,201
  5. Step 5: Solve for x
    x = 4,303,491,201/43,317
  6. Step 6: Final answer
    x = 99,348.78

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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.