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Finding the Third Proportional to 9,378.28 and 20,601.84

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Solution

The third proportional to 9,378.28 and 20,601.84 is: 45,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.28 : 20,601.84 = 20,601.84 : x
  2. Step 2: Convert to fraction form
    9,378.28/20,601.84 = 20,601.84/x
  3. Step 3: Cross multiply
    9,378.28x = 20,601.84 × 20,601.84
  4. Step 4: Simplify right side
    9,378.28x = 424,435,965.90
  5. Step 5: Solve for x
    x = 424,435,965.90/9,378.28
  6. Step 6: Final answer
    x = 45,257.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.