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Finding the Third Proportional to 33,374.25 and 73,319.63

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Solution

The third proportional to 33,374.25 and 73,319.63 is: 161,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,374.25 : 73,319.63 = 73,319.63 : x
  2. Step 2: Convert to fraction form
    33,374.25/73,319.63 = 73,319.63/x
  3. Step 3: Cross multiply
    33,374.25x = 73,319.63 × 73,319.63
  4. Step 4: Simplify right side
    33,374.25x = 5,375,767,410.14
  5. Step 5: Solve for x
    x = 5,375,767,410.14/33,374.25
  6. Step 6: Final answer
    x = 161,075.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.