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Finding the Third Proportional to 33,576 and 73,368.75

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Solution

The third proportional to 33,576 and 73,368.75 is: 160,322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,576 : 73,368.75 = 73,368.75 : x
  2. Step 2: Convert to fraction form
    33,576/73,368.75 = 73,368.75/x
  3. Step 3: Cross multiply
    33,576x = 73,368.75 × 73,368.75
  4. Step 4: Simplify right side
    33,576x = 5,382,973,476.56
  5. Step 5: Solve for x
    x = 5,382,973,476.56/33,576
  6. Step 6: Final answer
    x = 160,322.06

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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.