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Finding the Third Proportional to 18,084 and 27,036

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Solution

The third proportional to 18,084 and 27,036 is: 40,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,084 : 27,036 = 27,036 : x
  2. Step 2: Convert to fraction form
    18,084/27,036 = 27,036/x
  3. Step 3: Cross multiply
    18,084x = 27,036 × 27,036
  4. Step 4: Simplify right side
    18,084x = 730,945,296
  5. Step 5: Solve for x
    x = 730,945,296/18,084
  6. Step 6: Final answer
    x = 40,419.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.