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Finding the Third Proportional to 4,032.28 and 8,662.57

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Solution

The third proportional to 4,032.28 and 8,662.57 is: 18,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032.28 : 8,662.57 = 8,662.57 : x
  2. Step 2: Convert to fraction form
    4,032.28/8,662.57 = 8,662.57/x
  3. Step 3: Cross multiply
    4,032.28x = 8,662.57 × 8,662.57
  4. Step 4: Simplify right side
    4,032.28x = 75,040,124.42
  5. Step 5: Solve for x
    x = 75,040,124.42/4,032.28
  6. Step 6: Final answer
    x = 18,609.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.