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Finding the Third Proportional to 33,135.75 and 70,736.63

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Solution

The third proportional to 33,135.75 and 70,736.63 is: 151,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,135.75 : 70,736.63 = 70,736.63 : x
  2. Step 2: Convert to fraction form
    33,135.75/70,736.63 = 70,736.63/x
  3. Step 3: Cross multiply
    33,135.75x = 70,736.63 × 70,736.63
  4. Step 4: Simplify right side
    33,135.75x = 5,003,670,116.39
  5. Step 5: Solve for x
    x = 5,003,670,116.39/33,135.75
  6. Step 6: Final answer
    x = 151,005.19

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.