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Finding the Third Proportional to 23,906 and 35,817

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Solution

The third proportional to 23,906 and 35,817 is: 53,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906 : 35,817 = 35,817 : x
  2. Step 2: Convert to fraction form
    23,906/35,817 = 35,817/x
  3. Step 3: Cross multiply
    23,906x = 35,817 × 35,817
  4. Step 4: Simplify right side
    23,906x = 1,282,857,489
  5. Step 5: Solve for x
    x = 1,282,857,489/23,906
  6. Step 6: Final answer
    x = 53,662.57

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Why These Related Problems?

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