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Finding the Third Proportional to 2,841 and 6,481.50

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Solution

The third proportional to 2,841 and 6,481.50 is: 14,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841 : 6,481.50 = 6,481.50 : x
  2. Step 2: Convert to fraction form
    2,841/6,481.50 = 6,481.50/x
  3. Step 3: Cross multiply
    2,841x = 6,481.50 × 6,481.50
  4. Step 4: Simplify right side
    2,841x = 42,009,842.25
  5. Step 5: Solve for x
    x = 42,009,842.25/2,841
  6. Step 6: Final answer
    x = 14,786.99

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.