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Finding the Third Proportional to 1,676.53 and 3,950.44

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Solution

The third proportional to 1,676.53 and 3,950.44 is: 9,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.53 : 3,950.44 = 3,950.44 : x
  2. Step 2: Convert to fraction form
    1,676.53/3,950.44 = 3,950.44/x
  3. Step 3: Cross multiply
    1,676.53x = 3,950.44 × 3,950.44
  4. Step 4: Simplify right side
    1,676.53x = 15,605,956.44
  5. Step 5: Solve for x
    x = 15,605,956.44/1,676.53
  6. Step 6: Final answer
    x = 9,308.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.