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Finding the Third Proportional to 10,427 and 21,934

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Solution

The third proportional to 10,427 and 21,934 is: 46,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427 : 21,934 = 21,934 : x
  2. Step 2: Convert to fraction form
    10,427/21,934 = 21,934/x
  3. Step 3: Cross multiply
    10,427x = 21,934 × 21,934
  4. Step 4: Simplify right side
    10,427x = 481,100,356
  5. Step 5: Solve for x
    x = 481,100,356/10,427
  6. Step 6: Final answer
    x = 46,139.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.