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Finding the Third Proportional to 18,367 and 39,650

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Solution

The third proportional to 18,367 and 39,650 is: 85,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,367 : 39,650 = 39,650 : x
  2. Step 2: Convert to fraction form
    18,367/39,650 = 39,650/x
  3. Step 3: Cross multiply
    18,367x = 39,650 × 39,650
  4. Step 4: Simplify right side
    18,367x = 1,572,122,500
  5. Step 5: Solve for x
    x = 1,572,122,500/18,367
  6. Step 6: Final answer
    x = 85,594.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.