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Finding the Third Proportional to 5,087.81 and 11,950.03

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Solution

The third proportional to 5,087.81 and 11,950.03 is: 28,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.81 : 11,950.03 = 11,950.03 : x
  2. Step 2: Convert to fraction form
    5,087.81/11,950.03 = 11,950.03/x
  3. Step 3: Cross multiply
    5,087.81x = 11,950.03 × 11,950.03
  4. Step 4: Simplify right side
    5,087.81x = 142,803,246.88
  5. Step 5: Solve for x
    x = 142,803,246.88/5,087.81
  6. Step 6: Final answer
    x = 28,067.71

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.