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Finding the Third Proportional to 2,467.97 and 5,414.34

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Solution

The third proportional to 2,467.97 and 5,414.34 is: 11,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.97 : 5,414.34 = 5,414.34 : x
  2. Step 2: Convert to fraction form
    2,467.97/5,414.34 = 5,414.34/x
  3. Step 3: Cross multiply
    2,467.97x = 5,414.34 × 5,414.34
  4. Step 4: Simplify right side
    2,467.97x = 29,315,118.24
  5. Step 5: Solve for x
    x = 29,315,118.24/2,467.97
  6. Step 6: Final answer
    x = 11,878.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.