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Finding the Third Proportional to 18,380 and 39,604

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Solution

The third proportional to 18,380 and 39,604 is: 85,336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,380 : 39,604 = 39,604 : x
  2. Step 2: Convert to fraction form
    18,380/39,604 = 39,604/x
  3. Step 3: Cross multiply
    18,380x = 39,604 × 39,604
  4. Step 4: Simplify right side
    18,380x = 1,568,476,816
  5. Step 5: Solve for x
    x = 1,568,476,816/18,380
  6. Step 6: Final answer
    x = 85,336.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.