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Finding the Third Proportional to 23,094 and 34,849

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Solution

The third proportional to 23,094 and 34,849 is: 52,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,094 : 34,849 = 34,849 : x
  2. Step 2: Convert to fraction form
    23,094/34,849 = 34,849/x
  3. Step 3: Cross multiply
    23,094x = 34,849 × 34,849
  4. Step 4: Simplify right side
    23,094x = 1,214,452,801
  5. Step 5: Solve for x
    x = 1,214,452,801/23,094
  6. Step 6: Final answer
    x = 52,587.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.