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Finding the Third Proportional to 8,619.75 and 12,198.94

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Solution

The third proportional to 8,619.75 and 12,198.94 is: 17,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,619.75 : 12,198.94 = 12,198.94 : x
  2. Step 2: Convert to fraction form
    8,619.75/12,198.94 = 12,198.94/x
  3. Step 3: Cross multiply
    8,619.75x = 12,198.94 × 12,198.94
  4. Step 4: Simplify right side
    8,619.75x = 148,814,076.13
  5. Step 5: Solve for x
    x = 148,814,076.13/8,619.75
  6. Step 6: Final answer
    x = 17,264.31

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.