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Finding the Third Proportional to 4,471.75 and 9,559.25

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Solution

The third proportional to 4,471.75 and 9,559.25 is: 20,434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.75 : 9,559.25 = 9,559.25 : x
  2. Step 2: Convert to fraction form
    4,471.75/9,559.25 = 9,559.25/x
  3. Step 3: Cross multiply
    4,471.75x = 9,559.25 × 9,559.25
  4. Step 4: Simplify right side
    4,471.75x = 91,379,260.56
  5. Step 5: Solve for x
    x = 91,379,260.56/4,471.75
  6. Step 6: Final answer
    x = 20,434.79

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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.