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Finding the Third Proportional to 2,881.83 and 6,800.20

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Solution

The third proportional to 2,881.83 and 6,800.20 is: 16,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.83 : 6,800.20 = 6,800.20 : x
  2. Step 2: Convert to fraction form
    2,881.83/6,800.20 = 6,800.20/x
  3. Step 3: Cross multiply
    2,881.83x = 6,800.20 × 6,800.20
  4. Step 4: Simplify right side
    2,881.83x = 46,242,762.54
  5. Step 5: Solve for x
    x = 46,242,762.54/2,881.83
  6. Step 6: Final answer
    x = 16,046.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.