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Finding the Third Proportional to 18,794.25 and 28,098.75

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Solution

The third proportional to 18,794.25 and 28,098.75 is: 42,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,794.25 : 28,098.75 = 28,098.75 : x
  2. Step 2: Convert to fraction form
    18,794.25/28,098.75 = 28,098.75/x
  3. Step 3: Cross multiply
    18,794.25x = 28,098.75 × 28,098.75
  4. Step 4: Simplify right side
    18,794.25x = 789,539,751.56
  5. Step 5: Solve for x
    x = 789,539,751.56/18,794.25
  6. Step 6: Final answer
    x = 42,009.64

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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.