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Finding the Third Proportional to 18,891 and 27,897.75

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Solution

The third proportional to 18,891 and 27,897.75 is: 41,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,891 : 27,897.75 = 27,897.75 : x
  2. Step 2: Convert to fraction form
    18,891/27,897.75 = 27,897.75/x
  3. Step 3: Cross multiply
    18,891x = 27,897.75 × 27,897.75
  4. Step 4: Simplify right side
    18,891x = 778,284,455.06
  5. Step 5: Solve for x
    x = 778,284,455.06/18,891
  6. Step 6: Final answer
    x = 41,198.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.