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Finding the Third Proportional to 18,538 and 38,302

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Solution

The third proportional to 18,538 and 38,302 is: 79,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538 : 38,302 = 38,302 : x
  2. Step 2: Convert to fraction form
    18,538/38,302 = 38,302/x
  3. Step 3: Cross multiply
    18,538x = 38,302 × 38,302
  4. Step 4: Simplify right side
    18,538x = 1,467,043,204
  5. Step 5: Solve for x
    x = 1,467,043,204/18,538
  6. Step 6: Final answer
    x = 79,137.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.