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Finding the Third Proportional to 1,968.05 and 3,071.67

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Solution

The third proportional to 1,968.05 and 3,071.67 is: 4,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.05 : 3,071.67 = 3,071.67 : x
  2. Step 2: Convert to fraction form
    1,968.05/3,071.67 = 3,071.67/x
  3. Step 3: Cross multiply
    1,968.05x = 3,071.67 × 3,071.67
  4. Step 4: Simplify right side
    1,968.05x = 9,435,168.11
  5. Step 5: Solve for x
    x = 9,435,168.11/1,968.05
  6. Step 6: Final answer
    x = 4,794.18

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.