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Finding the Third Proportional to 8,194.50 and 12,489.75

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Solution

The third proportional to 8,194.50 and 12,489.75 is: 19,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.50 : 12,489.75 = 12,489.75 : x
  2. Step 2: Convert to fraction form
    8,194.50/12,489.75 = 12,489.75/x
  3. Step 3: Cross multiply
    8,194.50x = 12,489.75 × 12,489.75
  4. Step 4: Simplify right side
    8,194.50x = 155,993,855.06
  5. Step 5: Solve for x
    x = 155,993,855.06/8,194.50
  6. Step 6: Final answer
    x = 19,036.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.