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Finding the Third Proportional to 33,399 and 72,954

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Solution

The third proportional to 33,399 and 72,954 is: 159,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,399 : 72,954 = 72,954 : x
  2. Step 2: Convert to fraction form
    33,399/72,954 = 72,954/x
  3. Step 3: Cross multiply
    33,399x = 72,954 × 72,954
  4. Step 4: Simplify right side
    33,399x = 5,322,286,116
  5. Step 5: Solve for x
    x = 5,322,286,116/33,399
  6. Step 6: Final answer
    x = 159,354.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.