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Finding the Third Proportional to 33,531.75 and 69,819

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Solution

The third proportional to 33,531.75 and 69,819 is: 145,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,531.75 : 69,819 = 69,819 : x
  2. Step 2: Convert to fraction form
    33,531.75/69,819 = 69,819/x
  3. Step 3: Cross multiply
    33,531.75x = 69,819 × 69,819
  4. Step 4: Simplify right side
    33,531.75x = 4,874,692,761
  5. Step 5: Solve for x
    x = 4,874,692,761/33,531.75
  6. Step 6: Final answer
    x = 145,375.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.