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Finding the Third Proportional to 2,479.78 and 2,749.78

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Solution

The third proportional to 2,479.78 and 2,749.78 is: 3,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.78 : 2,749.78 = 2,749.78 : x
  2. Step 2: Convert to fraction form
    2,479.78/2,749.78 = 2,749.78/x
  3. Step 3: Cross multiply
    2,479.78x = 2,749.78 × 2,749.78
  4. Step 4: Simplify right side
    2,479.78x = 7,561,296.92
  5. Step 5: Solve for x
    x = 7,561,296.92/2,479.78
  6. Step 6: Final answer
    x = 3,049.18

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.