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Finding the Third Proportional to 33,558 and 73,426.50

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Solution

The third proportional to 33,558 and 73,426.50 is: 160,660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,558 : 73,426.50 = 73,426.50 : x
  2. Step 2: Convert to fraction form
    33,558/73,426.50 = 73,426.50/x
  3. Step 3: Cross multiply
    33,558x = 73,426.50 × 73,426.50
  4. Step 4: Simplify right side
    33,558x = 5,391,450,902.25
  5. Step 5: Solve for x
    x = 5,391,450,902.25/33,558
  6. Step 6: Final answer
    x = 160,660.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.