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Finding the Third Proportional to 23,902 and 35,811

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Solution

The third proportional to 23,902 and 35,811 is: 53,653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902 : 35,811 = 35,811 : x
  2. Step 2: Convert to fraction form
    23,902/35,811 = 35,811/x
  3. Step 3: Cross multiply
    23,902x = 35,811 × 35,811
  4. Step 4: Simplify right side
    23,902x = 1,282,427,721
  5. Step 5: Solve for x
    x = 1,282,427,721/23,902
  6. Step 6: Final answer
    x = 53,653.57

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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.