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Finding the Third Proportional to 17,954 and 38,351

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Solution

The third proportional to 17,954 and 38,351 is: 81,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,954 : 38,351 = 38,351 : x
  2. Step 2: Convert to fraction form
    17,954/38,351 = 38,351/x
  3. Step 3: Cross multiply
    17,954x = 38,351 × 38,351
  4. Step 4: Simplify right side
    17,954x = 1,470,799,201
  5. Step 5: Solve for x
    x = 1,470,799,201/17,954
  6. Step 6: Final answer
    x = 81,920.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.