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Finding the Third Proportional to 4,800.94 and 5,491.97

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Solution

The third proportional to 4,800.94 and 5,491.97 is: 6,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.94 : 5,491.97 = 5,491.97 : x
  2. Step 2: Convert to fraction form
    4,800.94/5,491.97 = 5,491.97/x
  3. Step 3: Cross multiply
    4,800.94x = 5,491.97 × 5,491.97
  4. Step 4: Simplify right side
    4,800.94x = 30,161,720.75
  5. Step 5: Solve for x
    x = 30,161,720.75/4,800.94
  6. Step 6: Final answer
    x = 6,282.46

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.