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Finding the Third Proportional to 1,765.05 and 3,764.67

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Solution

The third proportional to 1,765.05 and 3,764.67 is: 8,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.05 : 3,764.67 = 3,764.67 : x
  2. Step 2: Convert to fraction form
    1,765.05/3,764.67 = 3,764.67/x
  3. Step 3: Cross multiply
    1,765.05x = 3,764.67 × 3,764.67
  4. Step 4: Simplify right side
    1,765.05x = 14,172,754.33
  5. Step 5: Solve for x
    x = 14,172,754.33/1,765.05
  6. Step 6: Final answer
    x = 8,029.64

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.