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Finding the Third Proportional to 33,138 and 70,954

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Solution

The third proportional to 33,138 and 70,954 is: 151,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,138 : 70,954 = 70,954 : x
  2. Step 2: Convert to fraction form
    33,138/70,954 = 70,954/x
  3. Step 3: Cross multiply
    33,138x = 70,954 × 70,954
  4. Step 4: Simplify right side
    33,138x = 5,034,470,116
  5. Step 5: Solve for x
    x = 5,034,470,116/33,138
  6. Step 6: Final answer
    x = 151,924.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.