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Finding the Third Proportional to 3,103.50 and 7,182.75

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Solution

The third proportional to 3,103.50 and 7,182.75 is: 16,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.50 : 7,182.75 = 7,182.75 : x
  2. Step 2: Convert to fraction form
    3,103.50/7,182.75 = 7,182.75/x
  3. Step 3: Cross multiply
    3,103.50x = 7,182.75 × 7,182.75
  4. Step 4: Simplify right side
    3,103.50x = 51,591,897.56
  5. Step 5: Solve for x
    x = 51,591,897.56/3,103.50
  6. Step 6: Final answer
    x = 16,623.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.