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Finding the Third Proportional to 33,991 and 73,631.75

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Solution

The third proportional to 33,991 and 73,631.75 is: 159,502.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,991 : 73,631.75 = 73,631.75 : x
  2. Step 2: Convert to fraction form
    33,991/73,631.75 = 73,631.75/x
  3. Step 3: Cross multiply
    33,991x = 73,631.75 × 73,631.75
  4. Step 4: Simplify right side
    33,991x = 5,421,634,608.06
  5. Step 5: Solve for x
    x = 5,421,634,608.06/33,991
  6. Step 6: Final answer
    x = 159,502.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.