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Finding the Third Proportional to 20,873 and 32,324.25

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Solution

The third proportional to 20,873 and 32,324.25 is: 50,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873 : 32,324.25 = 32,324.25 : x
  2. Step 2: Convert to fraction form
    20,873/32,324.25 = 32,324.25/x
  3. Step 3: Cross multiply
    20,873x = 32,324.25 × 32,324.25
  4. Step 4: Simplify right side
    20,873x = 1,044,857,138.06
  5. Step 5: Solve for x
    x = 1,044,857,138.06/20,873
  6. Step 6: Final answer
    x = 50,057.83

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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.