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Finding the Third Proportional to 2,005.03 and 4,830.33

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Solution

The third proportional to 2,005.03 and 4,830.33 is: 11,636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.03 : 4,830.33 = 4,830.33 : x
  2. Step 2: Convert to fraction form
    2,005.03/4,830.33 = 4,830.33/x
  3. Step 3: Cross multiply
    2,005.03x = 4,830.33 × 4,830.33
  4. Step 4: Simplify right side
    2,005.03x = 23,332,069.80
  5. Step 5: Solve for x
    x = 23,332,069.80/2,005.03
  6. Step 6: Final answer
    x = 11,636.76

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.