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Finding the Third Proportional to 7,791.19 and 10,441.41

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Solution

The third proportional to 7,791.19 and 10,441.41 is: 13,993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.19 : 10,441.41 = 10,441.41 : x
  2. Step 2: Convert to fraction form
    7,791.19/10,441.41 = 10,441.41/x
  3. Step 3: Cross multiply
    7,791.19x = 10,441.41 × 10,441.41
  4. Step 4: Simplify right side
    7,791.19x = 109,022,964.48
  5. Step 5: Solve for x
    x = 109,022,964.48/7,791.19
  6. Step 6: Final answer
    x = 13,993.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.