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Finding the Third Proportional to 7,791.19 and 18,187.98

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Solution

The third proportional to 7,791.19 and 18,187.98 is: 42,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.19 : 18,187.98 = 18,187.98 : x
  2. Step 2: Convert to fraction form
    7,791.19/18,187.98 = 18,187.98/x
  3. Step 3: Cross multiply
    7,791.19x = 18,187.98 × 18,187.98
  4. Step 4: Simplify right side
    7,791.19x = 330,802,633.53
  5. Step 5: Solve for x
    x = 330,802,633.53/7,791.19
  6. Step 6: Final answer
    x = 42,458.56

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.