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Finding the Third Proportional to 6,733.13 and 13,800.38

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Solution

The third proportional to 6,733.13 and 13,800.38 is: 28,285.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.13 : 13,800.38 = 13,800.38 : x
  2. Step 2: Convert to fraction form
    6,733.13/13,800.38 = 13,800.38/x
  3. Step 3: Cross multiply
    6,733.13x = 13,800.38 × 13,800.38
  4. Step 4: Simplify right side
    6,733.13x = 190,450,350.14
  5. Step 5: Solve for x
    x = 190,450,350.14/6,733.13
  6. Step 6: Final answer
    x = 28,285.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.