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Finding the Third Proportional to 23,861 and 35,063

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Solution

The third proportional to 23,861 and 35,063 is: 51,523.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,861 : 35,063 = 35,063 : x
  2. Step 2: Convert to fraction form
    23,861/35,063 = 35,063/x
  3. Step 3: Cross multiply
    23,861x = 35,063 × 35,063
  4. Step 4: Simplify right side
    23,861x = 1,229,413,969
  5. Step 5: Solve for x
    x = 1,229,413,969/23,861
  6. Step 6: Final answer
    x = 51,523.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.