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Finding the Third Proportional to 18,186 and 28,092

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Solution

The third proportional to 18,186 and 28,092 is: 43,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,186 : 28,092 = 28,092 : x
  2. Step 2: Convert to fraction form
    18,186/28,092 = 28,092/x
  3. Step 3: Cross multiply
    18,186x = 28,092 × 28,092
  4. Step 4: Simplify right side
    18,186x = 789,160,464
  5. Step 5: Solve for x
    x = 789,160,464/18,186
  6. Step 6: Final answer
    x = 43,393.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.