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Finding the Third Proportional to 2,841 and 6,198.50

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Solution

The third proportional to 2,841 and 6,198.50 is: 13,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841 : 6,198.50 = 6,198.50 : x
  2. Step 2: Convert to fraction form
    2,841/6,198.50 = 6,198.50/x
  3. Step 3: Cross multiply
    2,841x = 6,198.50 × 6,198.50
  4. Step 4: Simplify right side
    2,841x = 38,421,402.25
  5. Step 5: Solve for x
    x = 38,421,402.25/2,841
  6. Step 6: Final answer
    x = 13,523.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.