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Finding the Third Proportional to 33,991.59 and 74,712.94

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Solution

The third proportional to 33,991.59 and 74,712.94 is: 164,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,991.59 : 74,712.94 = 74,712.94 : x
  2. Step 2: Convert to fraction form
    33,991.59/74,712.94 = 74,712.94/x
  3. Step 3: Cross multiply
    33,991.59x = 74,712.94 × 74,712.94
  4. Step 4: Simplify right side
    33,991.59x = 5,582,023,029.88
  5. Step 5: Solve for x
    x = 5,582,023,029.88/33,991.59
  6. Step 6: Final answer
    x = 164,217.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.