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Finding the Third Proportional to 23,012 and 34,311

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Solution

The third proportional to 23,012 and 34,311 is: 51,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,012 : 34,311 = 34,311 : x
  2. Step 2: Convert to fraction form
    23,012/34,311 = 34,311/x
  3. Step 3: Cross multiply
    23,012x = 34,311 × 34,311
  4. Step 4: Simplify right side
    23,012x = 1,177,244,721
  5. Step 5: Solve for x
    x = 1,177,244,721/23,012
  6. Step 6: Final answer
    x = 51,157.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.