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Finding the Third Proportional to 8,432.44 and 19,522.69

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Solution

The third proportional to 8,432.44 and 19,522.69 is: 45,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.44 : 19,522.69 = 19,522.69 : x
  2. Step 2: Convert to fraction form
    8,432.44/19,522.69 = 19,522.69/x
  3. Step 3: Cross multiply
    8,432.44x = 19,522.69 × 19,522.69
  4. Step 4: Simplify right side
    8,432.44x = 381,135,327.22
  5. Step 5: Solve for x
    x = 381,135,327.22/8,432.44
  6. Step 6: Final answer
    x = 45,198.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.