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Finding the Third Proportional to 1,782 and 2,676.38

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Solution

The third proportional to 1,782 and 2,676.38 is: 4,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782 : 2,676.38 = 2,676.38 : x
  2. Step 2: Convert to fraction form
    1,782/2,676.38 = 2,676.38/x
  3. Step 3: Cross multiply
    1,782x = 2,676.38 × 2,676.38
  4. Step 4: Simplify right side
    1,782x = 7,162,983.14
  5. Step 5: Solve for x
    x = 7,162,983.14/1,782
  6. Step 6: Final answer
    x = 4,019.63

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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.