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Finding the Third Proportional to 33,181.50 and 51,379.50

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Solution

The third proportional to 33,181.50 and 51,379.50 is: 79,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,181.50 : 51,379.50 = 51,379.50 : x
  2. Step 2: Convert to fraction form
    33,181.50/51,379.50 = 51,379.50/x
  3. Step 3: Cross multiply
    33,181.50x = 51,379.50 × 51,379.50
  4. Step 4: Simplify right side
    33,181.50x = 2,639,853,020.25
  5. Step 5: Solve for x
    x = 2,639,853,020.25/33,181.50
  6. Step 6: Final answer
    x = 79,557.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.