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Finding the Third Proportional to 5,178.94 and 7,201.41

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Solution

The third proportional to 5,178.94 and 7,201.41 is: 10,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.94 : 7,201.41 = 7,201.41 : x
  2. Step 2: Convert to fraction form
    5,178.94/7,201.41 = 7,201.41/x
  3. Step 3: Cross multiply
    5,178.94x = 7,201.41 × 7,201.41
  4. Step 4: Simplify right side
    5,178.94x = 51,860,251.98
  5. Step 5: Solve for x
    x = 51,860,251.98/5,178.94
  6. Step 6: Final answer
    x = 10,013.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.