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Finding the Third Proportional to 1,786.22 and 2,747.67

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Solution

The third proportional to 1,786.22 and 2,747.67 is: 4,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.22 : 2,747.67 = 2,747.67 : x
  2. Step 2: Convert to fraction form
    1,786.22/2,747.67 = 2,747.67/x
  3. Step 3: Cross multiply
    1,786.22x = 2,747.67 × 2,747.67
  4. Step 4: Simplify right side
    1,786.22x = 7,549,700.73
  5. Step 5: Solve for x
    x = 7,549,700.73/1,786.22
  6. Step 6: Final answer
    x = 4,226.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.