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Finding the Third Proportional to 20,005 and 43,722

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Solution

The third proportional to 20,005 and 43,722 is: 95,556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005 : 43,722 = 43,722 : x
  2. Step 2: Convert to fraction form
    20,005/43,722 = 43,722/x
  3. Step 3: Cross multiply
    20,005x = 43,722 × 43,722
  4. Step 4: Simplify right side
    20,005x = 1,911,613,284
  5. Step 5: Solve for x
    x = 1,911,613,284/20,005
  6. Step 6: Final answer
    x = 95,556.78

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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.