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Finding the Third Proportional to 2,546.75 and 5,324.69

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Solution

The third proportional to 2,546.75 and 5,324.69 is: 11,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.75 : 5,324.69 = 5,324.69 : x
  2. Step 2: Convert to fraction form
    2,546.75/5,324.69 = 5,324.69/x
  3. Step 3: Cross multiply
    2,546.75x = 5,324.69 × 5,324.69
  4. Step 4: Simplify right side
    2,546.75x = 28,352,296.97
  5. Step 5: Solve for x
    x = 28,352,296.97/2,546.75
  6. Step 6: Final answer
    x = 11,132.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.