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Finding the Third Proportional to 12,859 and 20,467

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Solution

The third proportional to 12,859 and 20,467 is: 32,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859 : 20,467 = 20,467 : x
  2. Step 2: Convert to fraction form
    12,859/20,467 = 20,467/x
  3. Step 3: Cross multiply
    12,859x = 20,467 × 20,467
  4. Step 4: Simplify right side
    12,859x = 418,898,089
  5. Step 5: Solve for x
    x = 418,898,089/12,859
  6. Step 6: Final answer
    x = 32,576.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.