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Finding the Third Proportional to 5,252.98 and 7,942.11

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Solution

The third proportional to 5,252.98 and 7,942.11 is: 12,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.98 : 7,942.11 = 7,942.11 : x
  2. Step 2: Convert to fraction form
    5,252.98/7,942.11 = 7,942.11/x
  3. Step 3: Cross multiply
    5,252.98x = 7,942.11 × 7,942.11
  4. Step 4: Simplify right side
    5,252.98x = 63,077,163.37
  5. Step 5: Solve for x
    x = 63,077,163.37/5,252.98
  6. Step 6: Final answer
    x = 12,007.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.