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Finding the Third Proportional to 2,563.31 and 5,388.19

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Solution

The third proportional to 2,563.31 and 5,388.19 is: 11,326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.31 : 5,388.19 = 5,388.19 : x
  2. Step 2: Convert to fraction form
    2,563.31/5,388.19 = 5,388.19/x
  3. Step 3: Cross multiply
    2,563.31x = 5,388.19 × 5,388.19
  4. Step 4: Simplify right side
    2,563.31x = 29,032,564.54
  5. Step 5: Solve for x
    x = 29,032,564.54/2,563.31
  6. Step 6: Final answer
    x = 11,326.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.