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Finding the Third Proportional to 34,667 and 74,869

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Solution

The third proportional to 34,667 and 74,869 is: 161,691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,667 : 74,869 = 74,869 : x
  2. Step 2: Convert to fraction form
    34,667/74,869 = 74,869/x
  3. Step 3: Cross multiply
    34,667x = 74,869 × 74,869
  4. Step 4: Simplify right side
    34,667x = 5,605,367,161
  5. Step 5: Solve for x
    x = 5,605,367,161/34,667
  6. Step 6: Final answer
    x = 161,691.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.