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Finding the Third Proportional to 1,324.25 and 2,824.38

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Solution

The third proportional to 1,324.25 and 2,824.38 is: 6,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.25 : 2,824.38 = 2,824.38 : x
  2. Step 2: Convert to fraction form
    1,324.25/2,824.38 = 2,824.38/x
  3. Step 3: Cross multiply
    1,324.25x = 2,824.38 × 2,824.38
  4. Step 4: Simplify right side
    1,324.25x = 7,977,094.14
  5. Step 5: Solve for x
    x = 7,977,094.14/1,324.25
  6. Step 6: Final answer
    x = 6,023.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.