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Finding the Third Proportional to 18,077 and 27,019

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Solution

The third proportional to 18,077 and 27,019 is: 40,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,077 : 27,019 = 27,019 : x
  2. Step 2: Convert to fraction form
    18,077/27,019 = 27,019/x
  3. Step 3: Cross multiply
    18,077x = 27,019 × 27,019
  4. Step 4: Simplify right side
    18,077x = 730,026,361
  5. Step 5: Solve for x
    x = 730,026,361/18,077
  6. Step 6: Final answer
    x = 40,384.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.