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Finding the Third Proportional to 4,971.38 and 7,067.25

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Solution

The third proportional to 4,971.38 and 7,067.25 is: 10,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.38 : 7,067.25 = 7,067.25 : x
  2. Step 2: Convert to fraction form
    4,971.38/7,067.25 = 7,067.25/x
  3. Step 3: Cross multiply
    4,971.38x = 7,067.25 × 7,067.25
  4. Step 4: Simplify right side
    4,971.38x = 49,946,022.56
  5. Step 5: Solve for x
    x = 49,946,022.56/4,971.38
  6. Step 6: Final answer
    x = 10,046.72

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