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Finding the Third Proportional to 13,906 and 20,372

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Solution

The third proportional to 13,906 and 20,372 is: 29,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906 : 20,372 = 20,372 : x
  2. Step 2: Convert to fraction form
    13,906/20,372 = 20,372/x
  3. Step 3: Cross multiply
    13,906x = 20,372 × 20,372
  4. Step 4: Simplify right side
    13,906x = 415,018,384
  5. Step 5: Solve for x
    x = 415,018,384/13,906
  6. Step 6: Final answer
    x = 29,844.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.