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Finding the Third Proportional to 22,207.50 and 33,873

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Solution

The third proportional to 22,207.50 and 33,873 is: 51,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,207.50 : 33,873 = 33,873 : x
  2. Step 2: Convert to fraction form
    22,207.50/33,873 = 33,873/x
  3. Step 3: Cross multiply
    22,207.50x = 33,873 × 33,873
  4. Step 4: Simplify right side
    22,207.50x = 1,147,380,129
  5. Step 5: Solve for x
    x = 1,147,380,129/22,207.50
  6. Step 6: Final answer
    x = 51,666.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.