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Finding the Third Proportional to 33,448.50 and 72,009

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Solution

The third proportional to 33,448.50 and 72,009 is: 155,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,448.50 : 72,009 = 72,009 : x
  2. Step 2: Convert to fraction form
    33,448.50/72,009 = 72,009/x
  3. Step 3: Cross multiply
    33,448.50x = 72,009 × 72,009
  4. Step 4: Simplify right side
    33,448.50x = 5,185,296,081
  5. Step 5: Solve for x
    x = 5,185,296,081/33,448.50
  6. Step 6: Final answer
    x = 155,023.28

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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.