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Finding the Third Proportional to 2,431.54 and 5,737.67

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Solution

The third proportional to 2,431.54 and 5,737.67 is: 13,539.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.54 : 5,737.67 = 5,737.67 : x
  2. Step 2: Convert to fraction form
    2,431.54/5,737.67 = 5,737.67/x
  3. Step 3: Cross multiply
    2,431.54x = 5,737.67 × 5,737.67
  4. Step 4: Simplify right side
    2,431.54x = 32,920,872.94
  5. Step 5: Solve for x
    x = 32,920,872.94/2,431.54
  6. Step 6: Final answer
    x = 13,539.09

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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.