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Finding the Third Proportional to 9,481.50 and 20,765.25

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Solution

The third proportional to 9,481.50 and 20,765.25 is: 45,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.50 : 20,765.25 = 20,765.25 : x
  2. Step 2: Convert to fraction form
    9,481.50/20,765.25 = 20,765.25/x
  3. Step 3: Cross multiply
    9,481.50x = 20,765.25 × 20,765.25
  4. Step 4: Simplify right side
    9,481.50x = 431,195,607.56
  5. Step 5: Solve for x
    x = 431,195,607.56/9,481.50
  6. Step 6: Final answer
    x = 45,477.57

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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.