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Finding the Third Proportional to 25,231.50 and 27,891

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Solution

The third proportional to 25,231.50 and 27,891 is: 30,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,231.50 : 27,891 = 27,891 : x
  2. Step 2: Convert to fraction form
    25,231.50/27,891 = 27,891/x
  3. Step 3: Cross multiply
    25,231.50x = 27,891 × 27,891
  4. Step 4: Simplify right side
    25,231.50x = 777,907,881
  5. Step 5: Solve for x
    x = 777,907,881/25,231.50
  6. Step 6: Final answer
    x = 30,830.82

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.