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Finding the Third Proportional to 33,994.69 and 74,039.06

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Solution

The third proportional to 33,994.69 and 74,039.06 is: 161,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,994.69 : 74,039.06 = 74,039.06 : x
  2. Step 2: Convert to fraction form
    33,994.69/74,039.06 = 74,039.06/x
  3. Step 3: Cross multiply
    33,994.69x = 74,039.06 × 74,039.06
  4. Step 4: Simplify right side
    33,994.69x = 5,481,782,775.88
  5. Step 5: Solve for x
    x = 5,481,782,775.88/33,994.69
  6. Step 6: Final answer
    x = 161,254.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.