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Finding the Third Proportional to 2,133.75 and 4,942.88

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Solution

The third proportional to 2,133.75 and 4,942.88 is: 11,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.75 : 4,942.88 = 4,942.88 : x
  2. Step 2: Convert to fraction form
    2,133.75/4,942.88 = 4,942.88/x
  3. Step 3: Cross multiply
    2,133.75x = 4,942.88 × 4,942.88
  4. Step 4: Simplify right side
    2,133.75x = 24,432,013.27
  5. Step 5: Solve for x
    x = 24,432,013.27/2,133.75
  6. Step 6: Final answer
    x = 11,450.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.