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Finding the Third Proportional to 18,603 and 27,884.25

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Solution

The third proportional to 18,603 and 27,884.25 is: 41,796.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,603 : 27,884.25 = 27,884.25 : x
  2. Step 2: Convert to fraction form
    18,603/27,884.25 = 27,884.25/x
  3. Step 3: Cross multiply
    18,603x = 27,884.25 × 27,884.25
  4. Step 4: Simplify right side
    18,603x = 777,531,398.06
  5. Step 5: Solve for x
    x = 777,531,398.06/18,603
  6. Step 6: Final answer
    x = 41,796.02

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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.