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Finding the Third Proportional to 9,357.44 and 20,288.75

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Solution

The third proportional to 9,357.44 and 20,288.75 is: 43,989.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.44 : 20,288.75 = 20,288.75 : x
  2. Step 2: Convert to fraction form
    9,357.44/20,288.75 = 20,288.75/x
  3. Step 3: Cross multiply
    9,357.44x = 20,288.75 × 20,288.75
  4. Step 4: Simplify right side
    9,357.44x = 411,633,376.56
  5. Step 5: Solve for x
    x = 411,633,376.56/9,357.44
  6. Step 6: Final answer
    x = 43,989.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.