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Finding the Third Proportional to 2,676.09 and 4,153.78

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Solution

The third proportional to 2,676.09 and 4,153.78 is: 6,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.09 : 4,153.78 = 4,153.78 : x
  2. Step 2: Convert to fraction form
    2,676.09/4,153.78 = 4,153.78/x
  3. Step 3: Cross multiply
    2,676.09x = 4,153.78 × 4,153.78
  4. Step 4: Simplify right side
    2,676.09x = 17,253,898.67
  5. Step 5: Solve for x
    x = 17,253,898.67/2,676.09
  6. Step 6: Final answer
    x = 6,447.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.