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Finding the Third Proportional to 7,961.50 and 18,593

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Solution

The third proportional to 7,961.50 and 18,593 is: 43,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.50 : 18,593 = 18,593 : x
  2. Step 2: Convert to fraction form
    7,961.50/18,593 = 18,593/x
  3. Step 3: Cross multiply
    7,961.50x = 18,593 × 18,593
  4. Step 4: Simplify right side
    7,961.50x = 345,699,649
  5. Step 5: Solve for x
    x = 345,699,649/7,961.50
  6. Step 6: Final answer
    x = 43,421.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.