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Finding the Third Proportional to 1,918.37 and 3,744.67

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Solution

The third proportional to 1,918.37 and 3,744.67 is: 7,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.37 : 3,744.67 = 3,744.67 : x
  2. Step 2: Convert to fraction form
    1,918.37/3,744.67 = 3,744.67/x
  3. Step 3: Cross multiply
    1,918.37x = 3,744.67 × 3,744.67
  4. Step 4: Simplify right side
    1,918.37x = 14,022,538.20
  5. Step 5: Solve for x
    x = 14,022,538.20/1,918.37
  6. Step 6: Final answer
    x = 7,309.61

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.