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Finding the Third Proportional to 33,954 and 73,716

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Solution

The third proportional to 33,954 and 73,716 is: 160,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,954 : 73,716 = 73,716 : x
  2. Step 2: Convert to fraction form
    33,954/73,716 = 73,716/x
  3. Step 3: Cross multiply
    33,954x = 73,716 × 73,716
  4. Step 4: Simplify right side
    33,954x = 5,434,048,656
  5. Step 5: Solve for x
    x = 5,434,048,656/33,954
  6. Step 6: Final answer
    x = 160,041.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.