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Finding the Third Proportional to 9,533.25 and 13,992.75

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Solution

The third proportional to 9,533.25 and 13,992.75 is: 20,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.25 : 13,992.75 = 13,992.75 : x
  2. Step 2: Convert to fraction form
    9,533.25/13,992.75 = 13,992.75/x
  3. Step 3: Cross multiply
    9,533.25x = 13,992.75 × 13,992.75
  4. Step 4: Simplify right side
    9,533.25x = 195,797,052.56
  5. Step 5: Solve for x
    x = 195,797,052.56/9,533.25
  6. Step 6: Final answer
    x = 20,538.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.