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Finding the Third Proportional to 2,208.52 and 4,800.73

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Solution

The third proportional to 2,208.52 and 4,800.73 is: 10,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.52 : 4,800.73 = 4,800.73 : x
  2. Step 2: Convert to fraction form
    2,208.52/4,800.73 = 4,800.73/x
  3. Step 3: Cross multiply
    2,208.52x = 4,800.73 × 4,800.73
  4. Step 4: Simplify right side
    2,208.52x = 23,046,975.53
  5. Step 5: Solve for x
    x = 23,046,975.53/2,208.52
  6. Step 6: Final answer
    x = 10,435.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.