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Finding the Third Proportional to 19,891 and 27,883.50

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Solution

The third proportional to 19,891 and 27,883.50 is: 39,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,891 : 27,883.50 = 27,883.50 : x
  2. Step 2: Convert to fraction form
    19,891/27,883.50 = 27,883.50/x
  3. Step 3: Cross multiply
    19,891x = 27,883.50 × 27,883.50
  4. Step 4: Simplify right side
    19,891x = 777,489,572.25
  5. Step 5: Solve for x
    x = 777,489,572.25/19,891
  6. Step 6: Final answer
    x = 39,087.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.