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Finding the Third Proportional to 33,022.69 and 72,267.19

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Solution

The third proportional to 33,022.69 and 72,267.19 is: 158,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,022.69 : 72,267.19 = 72,267.19 : x
  2. Step 2: Convert to fraction form
    33,022.69/72,267.19 = 72,267.19/x
  3. Step 3: Cross multiply
    33,022.69x = 72,267.19 × 72,267.19
  4. Step 4: Simplify right side
    33,022.69x = 5,222,546,389.16
  5. Step 5: Solve for x
    x = 5,222,546,389.16/33,022.69
  6. Step 6: Final answer
    x = 158,150.25

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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.