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Finding the Third Proportional to 20,150 and 23,279

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Solution

The third proportional to 20,150 and 23,279 is: 26,893.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,150 : 23,279 = 23,279 : x
  2. Step 2: Convert to fraction form
    20,150/23,279 = 23,279/x
  3. Step 3: Cross multiply
    20,150x = 23,279 × 23,279
  4. Step 4: Simplify right side
    20,150x = 541,911,841
  5. Step 5: Solve for x
    x = 541,911,841/20,150
  6. Step 6: Final answer
    x = 26,893.89

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.