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Finding the Third Proportional to 6,017.10 and 12,942.60

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Solution

The third proportional to 6,017.10 and 12,942.60 is: 27,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,017.10 : 12,942.60 = 12,942.60 : x
  2. Step 2: Convert to fraction form
    6,017.10/12,942.60 = 12,942.60/x
  3. Step 3: Cross multiply
    6,017.10x = 12,942.60 × 12,942.60
  4. Step 4: Simplify right side
    6,017.10x = 167,510,834.09
  5. Step 5: Solve for x
    x = 167,510,834.09/6,017.10
  6. Step 6: Final answer
    x = 27,839.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.