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Finding the Third Proportional to 11,563.25 and 15,372.75

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Solution

The third proportional to 11,563.25 and 15,372.75 is: 20,437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.25 : 15,372.75 = 15,372.75 : x
  2. Step 2: Convert to fraction form
    11,563.25/15,372.75 = 15,372.75/x
  3. Step 3: Cross multiply
    11,563.25x = 15,372.75 × 15,372.75
  4. Step 4: Simplify right side
    11,563.25x = 236,321,442.56
  5. Step 5: Solve for x
    x = 236,321,442.56/11,563.25
  6. Step 6: Final answer
    x = 20,437.29

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.