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Finding the Third Proportional to 17,930 and 38,322

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Solution

The third proportional to 17,930 and 38,322 is: 81,906.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,930 : 38,322 = 38,322 : x
  2. Step 2: Convert to fraction form
    17,930/38,322 = 38,322/x
  3. Step 3: Cross multiply
    17,930x = 38,322 × 38,322
  4. Step 4: Simplify right side
    17,930x = 1,468,575,684
  5. Step 5: Solve for x
    x = 1,468,575,684/17,930
  6. Step 6: Final answer
    x = 81,906.06

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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.