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Finding the Third Proportional to 18,536 and 25,980

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Solution

The third proportional to 18,536 and 25,980 is: 36,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536 : 25,980 = 25,980 : x
  2. Step 2: Convert to fraction form
    18,536/25,980 = 25,980/x
  3. Step 3: Cross multiply
    18,536x = 25,980 × 25,980
  4. Step 4: Simplify right side
    18,536x = 674,960,400
  5. Step 5: Solve for x
    x = 674,960,400/18,536
  6. Step 6: Final answer
    x = 36,413.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.