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Finding the Third Proportional to 6,807 and 13,789.50

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Solution

The third proportional to 6,807 and 13,789.50 is: 27,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807 : 13,789.50 = 13,789.50 : x
  2. Step 2: Convert to fraction form
    6,807/13,789.50 = 13,789.50/x
  3. Step 3: Cross multiply
    6,807x = 13,789.50 × 13,789.50
  4. Step 4: Simplify right side
    6,807x = 190,150,310.25
  5. Step 5: Solve for x
    x = 190,150,310.25/6,807
  6. Step 6: Final answer
    x = 27,934.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.