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Finding the Third Proportional to 2,769 and 7,198.50

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Solution

The third proportional to 2,769 and 7,198.50 is: 18,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769 : 7,198.50 = 7,198.50 : x
  2. Step 2: Convert to fraction form
    2,769/7,198.50 = 7,198.50/x
  3. Step 3: Cross multiply
    2,769x = 7,198.50 × 7,198.50
  4. Step 4: Simplify right side
    2,769x = 51,818,402.25
  5. Step 5: Solve for x
    x = 51,818,402.25/2,769
  6. Step 6: Final answer
    x = 18,713.76

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.