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Finding the Third Proportional to 481.75 and 1,013.88

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Solution

The third proportional to 481.75 and 1,013.88 is: 2,133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.75 : 1,013.88 = 1,013.88 : x
  2. Step 2: Convert to fraction form
    481.75/1,013.88 = 1,013.88/x
  3. Step 3: Cross multiply
    481.75x = 1,013.88 × 1,013.88
  4. Step 4: Simplify right side
    481.75x = 1,027,942.52
  5. Step 5: Solve for x
    x = 1,027,942.52/481.75
  6. Step 6: Final answer
    x = 2,133.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.