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Finding the Third Proportional to 9,286.50 and 18,115.50

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Solution

The third proportional to 9,286.50 and 18,115.50 is: 35,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.50 : 18,115.50 = 18,115.50 : x
  2. Step 2: Convert to fraction form
    9,286.50/18,115.50 = 18,115.50/x
  3. Step 3: Cross multiply
    9,286.50x = 18,115.50 × 18,115.50
  4. Step 4: Simplify right side
    9,286.50x = 328,171,340.25
  5. Step 5: Solve for x
    x = 328,171,340.25/9,286.50
  6. Step 6: Final answer
    x = 35,338.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.