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Finding the Third Proportional to 18,086 and 28,001

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Solution

The third proportional to 18,086 and 28,001 is: 43,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,086 : 28,001 = 28,001 : x
  2. Step 2: Convert to fraction form
    18,086/28,001 = 28,001/x
  3. Step 3: Cross multiply
    18,086x = 28,001 × 28,001
  4. Step 4: Simplify right side
    18,086x = 784,056,001
  5. Step 5: Solve for x
    x = 784,056,001/18,086
  6. Step 6: Final answer
    x = 43,351.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.