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Finding the Third Proportional to 2,500.88 and 3,872.81

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Solution

The third proportional to 2,500.88 and 3,872.81 is: 5,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.88 : 3,872.81 = 3,872.81 : x
  2. Step 2: Convert to fraction form
    2,500.88/3,872.81 = 3,872.81/x
  3. Step 3: Cross multiply
    2,500.88x = 3,872.81 × 3,872.81
  4. Step 4: Simplify right side
    2,500.88x = 14,998,676.66
  5. Step 5: Solve for x
    x = 14,998,676.66/2,500.88
  6. Step 6: Final answer
    x = 5,997.37

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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.