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Finding the Third Proportional to 6,099.50 and 13,314.75

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Solution

The third proportional to 6,099.50 and 13,314.75 is: 29,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.50 : 13,314.75 = 13,314.75 : x
  2. Step 2: Convert to fraction form
    6,099.50/13,314.75 = 13,314.75/x
  3. Step 3: Cross multiply
    6,099.50x = 13,314.75 × 13,314.75
  4. Step 4: Simplify right side
    6,099.50x = 177,282,567.56
  5. Step 5: Solve for x
    x = 177,282,567.56/6,099.50
  6. Step 6: Final answer
    x = 29,065.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.