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Finding the Third Proportional to 1,230.98 and 1,842.12

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Solution

The third proportional to 1,230.98 and 1,842.12 is: 2,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.98 : 1,842.12 = 1,842.12 : x
  2. Step 2: Convert to fraction form
    1,230.98/1,842.12 = 1,842.12/x
  3. Step 3: Cross multiply
    1,230.98x = 1,842.12 × 1,842.12
  4. Step 4: Simplify right side
    1,230.98x = 3,393,395.73
  5. Step 5: Solve for x
    x = 3,393,395.73/1,230.98
  6. Step 6: Final answer
    x = 2,756.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.