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Finding the Third Proportional to 2,324.25 and 5,057.25

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Solution

The third proportional to 2,324.25 and 5,057.25 is: 11,003.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.25 : 5,057.25 = 5,057.25 : x
  2. Step 2: Convert to fraction form
    2,324.25/5,057.25 = 5,057.25/x
  3. Step 3: Cross multiply
    2,324.25x = 5,057.25 × 5,057.25
  4. Step 4: Simplify right side
    2,324.25x = 25,575,777.56
  5. Step 5: Solve for x
    x = 25,575,777.56/2,324.25
  6. Step 6: Final answer
    x = 11,003.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.