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Finding the Third Proportional to 47,067 and 66,928.50

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Solution

The third proportional to 47,067 and 66,928.50 is: 95,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,067 : 66,928.50 = 66,928.50 : x
  2. Step 2: Convert to fraction form
    47,067/66,928.50 = 66,928.50/x
  3. Step 3: Cross multiply
    47,067x = 66,928.50 × 66,928.50
  4. Step 4: Simplify right side
    47,067x = 4,479,424,112.25
  5. Step 5: Solve for x
    x = 4,479,424,112.25/47,067
  6. Step 6: Final answer
    x = 95,171.23

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.