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Finding the Third Proportional to 2,196.97 and 4,833.90

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Solution

The third proportional to 2,196.97 and 4,833.90 is: 10,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.97 : 4,833.90 = 4,833.90 : x
  2. Step 2: Convert to fraction form
    2,196.97/4,833.90 = 4,833.90/x
  3. Step 3: Cross multiply
    2,196.97x = 4,833.90 × 4,833.90
  4. Step 4: Simplify right side
    2,196.97x = 23,366,555.22
  5. Step 5: Solve for x
    x = 23,366,555.22/2,196.97
  6. Step 6: Final answer
    x = 10,635.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.