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Finding the Third Proportional to 2,481.75 and 4,098.38

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Solution

The third proportional to 2,481.75 and 4,098.38 is: 6,768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.75 : 4,098.38 = 4,098.38 : x
  2. Step 2: Convert to fraction form
    2,481.75/4,098.38 = 4,098.38/x
  3. Step 3: Cross multiply
    2,481.75x = 4,098.38 × 4,098.38
  4. Step 4: Simplify right side
    2,481.75x = 16,796,677.64
  5. Step 5: Solve for x
    x = 16,796,677.64/2,481.75
  6. Step 6: Final answer
    x = 6,768.08

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.