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Finding the Third Proportional to 6,790.50 and 18,218.25

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Solution

The third proportional to 6,790.50 and 18,218.25 is: 48,877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.50 : 18,218.25 = 18,218.25 : x
  2. Step 2: Convert to fraction form
    6,790.50/18,218.25 = 18,218.25/x
  3. Step 3: Cross multiply
    6,790.50x = 18,218.25 × 18,218.25
  4. Step 4: Simplify right side
    6,790.50x = 331,904,633.06
  5. Step 5: Solve for x
    x = 331,904,633.06/6,790.50
  6. Step 6: Final answer
    x = 48,877.79

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Why These Related Problems?

These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.