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Finding the Third Proportional to 18,912 and 25,087.50

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Solution

The third proportional to 18,912 and 25,087.50 is: 33,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,912 : 25,087.50 = 25,087.50 : x
  2. Step 2: Convert to fraction form
    18,912/25,087.50 = 25,087.50/x
  3. Step 3: Cross multiply
    18,912x = 25,087.50 × 25,087.50
  4. Step 4: Simplify right side
    18,912x = 629,382,656.25
  5. Step 5: Solve for x
    x = 629,382,656.25/18,912
  6. Step 6: Final answer
    x = 33,279.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.