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Finding the Third Proportional to 6,103.50 and 12,996.75

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Solution

The third proportional to 6,103.50 and 12,996.75 is: 27,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.50 : 12,996.75 = 12,996.75 : x
  2. Step 2: Convert to fraction form
    6,103.50/12,996.75 = 12,996.75/x
  3. Step 3: Cross multiply
    6,103.50x = 12,996.75 × 12,996.75
  4. Step 4: Simplify right side
    6,103.50x = 168,915,510.56
  5. Step 5: Solve for x
    x = 168,915,510.56/6,103.50
  6. Step 6: Final answer
    x = 27,675.19

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.