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Finding the Third Proportional to 20,058 and 28,266

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Solution

The third proportional to 20,058 and 28,266 is: 39,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,058 : 28,266 = 28,266 : x
  2. Step 2: Convert to fraction form
    20,058/28,266 = 28,266/x
  3. Step 3: Cross multiply
    20,058x = 28,266 × 28,266
  4. Step 4: Simplify right side
    20,058x = 798,966,756
  5. Step 5: Solve for x
    x = 798,966,756/20,058
  6. Step 6: Final answer
    x = 39,832.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.