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Finding the Third Proportional to 7,951.50 and 18,025

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Solution

The third proportional to 7,951.50 and 18,025 is: 40,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.50 : 18,025 = 18,025 : x
  2. Step 2: Convert to fraction form
    7,951.50/18,025 = 18,025/x
  3. Step 3: Cross multiply
    7,951.50x = 18,025 × 18,025
  4. Step 4: Simplify right side
    7,951.50x = 324,900,625
  5. Step 5: Solve for x
    x = 324,900,625/7,951.50
  6. Step 6: Final answer
    x = 40,860.29

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.