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Finding the Third Proportional to 23,012 and 34,698

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Solution

The third proportional to 23,012 and 34,698 is: 52,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,012 : 34,698 = 34,698 : x
  2. Step 2: Convert to fraction form
    23,012/34,698 = 34,698/x
  3. Step 3: Cross multiply
    23,012x = 34,698 × 34,698
  4. Step 4: Simplify right side
    23,012x = 1,203,951,204
  5. Step 5: Solve for x
    x = 1,203,951,204/23,012
  6. Step 6: Final answer
    x = 52,318.41

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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.