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Finding the Third Proportional to 20,105 and 26,467

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Solution

The third proportional to 20,105 and 26,467 is: 34,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105 : 26,467 = 26,467 : x
  2. Step 2: Convert to fraction form
    20,105/26,467 = 26,467/x
  3. Step 3: Cross multiply
    20,105x = 26,467 × 26,467
  4. Step 4: Simplify right side
    20,105x = 700,502,089
  5. Step 5: Solve for x
    x = 700,502,089/20,105
  6. Step 6: Final answer
    x = 34,842.18

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.