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Finding the Third Proportional to 33,071 and 72,351.50

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Solution

The third proportional to 33,071 and 72,351.50 is: 158,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,071 : 72,351.50 = 72,351.50 : x
  2. Step 2: Convert to fraction form
    33,071/72,351.50 = 72,351.50/x
  3. Step 3: Cross multiply
    33,071x = 72,351.50 × 72,351.50
  4. Step 4: Simplify right side
    33,071x = 5,234,739,552.25
  5. Step 5: Solve for x
    x = 5,234,739,552.25/33,071
  6. Step 6: Final answer
    x = 158,287.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.