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Finding the Third Proportional to 9,560.75 and 20,505.25

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Solution

The third proportional to 9,560.75 and 20,505.25 is: 43,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.75 : 20,505.25 = 20,505.25 : x
  2. Step 2: Convert to fraction form
    9,560.75/20,505.25 = 20,505.25/x
  3. Step 3: Cross multiply
    9,560.75x = 20,505.25 × 20,505.25
  4. Step 4: Simplify right side
    9,560.75x = 420,465,277.56
  5. Step 5: Solve for x
    x = 420,465,277.56/9,560.75
  6. Step 6: Final answer
    x = 43,978.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.