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Finding the Third Proportional to 33,649.50 and 72,873

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Solution

The third proportional to 33,649.50 and 72,873 is: 157,817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,649.50 : 72,873 = 72,873 : x
  2. Step 2: Convert to fraction form
    33,649.50/72,873 = 72,873/x
  3. Step 3: Cross multiply
    33,649.50x = 72,873 × 72,873
  4. Step 4: Simplify right side
    33,649.50x = 5,310,474,129
  5. Step 5: Solve for x
    x = 5,310,474,129/33,649.50
  6. Step 6: Final answer
    x = 157,817.33

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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.