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Finding the Third Proportional to 23,094 and 30,819

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Solution

The third proportional to 23,094 and 30,819 is: 41,128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,094 : 30,819 = 30,819 : x
  2. Step 2: Convert to fraction form
    23,094/30,819 = 30,819/x
  3. Step 3: Cross multiply
    23,094x = 30,819 × 30,819
  4. Step 4: Simplify right side
    23,094x = 949,810,761
  5. Step 5: Solve for x
    x = 949,810,761/23,094
  6. Step 6: Final answer
    x = 41,128.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.