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Finding the Third Proportional to 33,316.50 and 71,573.50

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Solution

The third proportional to 33,316.50 and 71,573.50 is: 153,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,316.50 : 71,573.50 = 71,573.50 : x
  2. Step 2: Convert to fraction form
    33,316.50/71,573.50 = 71,573.50/x
  3. Step 3: Cross multiply
    33,316.50x = 71,573.50 × 71,573.50
  4. Step 4: Simplify right side
    33,316.50x = 5,122,765,902.25
  5. Step 5: Solve for x
    x = 5,122,765,902.25/33,316.50
  6. Step 6: Final answer
    x = 153,760.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.