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Finding the Third Proportional to 32,867 and 71,954

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Solution

The third proportional to 32,867 and 71,954 is: 157,525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,867 : 71,954 = 71,954 : x
  2. Step 2: Convert to fraction form
    32,867/71,954 = 71,954/x
  3. Step 3: Cross multiply
    32,867x = 71,954 × 71,954
  4. Step 4: Simplify right side
    32,867x = 5,177,378,116
  5. Step 5: Solve for x
    x = 5,177,378,116/32,867
  6. Step 6: Final answer
    x = 157,525.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.