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Finding the Third Proportional to 23,923 and 35,153

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Solution

The third proportional to 23,923 and 35,153 is: 51,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,923 : 35,153 = 35,153 : x
  2. Step 2: Convert to fraction form
    23,923/35,153 = 35,153/x
  3. Step 3: Cross multiply
    23,923x = 35,153 × 35,153
  4. Step 4: Simplify right side
    23,923x = 1,235,733,409
  5. Step 5: Solve for x
    x = 1,235,733,409/23,923
  6. Step 6: Final answer
    x = 51,654.62

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Why These Related Problems?

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