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Finding the Third Proportional to 8,934.05 and 20,771.44

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Solution

The third proportional to 8,934.05 and 20,771.44 is: 48,293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.05 : 20,771.44 = 20,771.44 : x
  2. Step 2: Convert to fraction form
    8,934.05/20,771.44 = 20,771.44/x
  3. Step 3: Cross multiply
    8,934.05x = 20,771.44 × 20,771.44
  4. Step 4: Simplify right side
    8,934.05x = 431,452,615.82
  5. Step 5: Solve for x
    x = 431,452,615.82/8,934.05
  6. Step 6: Final answer
    x = 48,293.08

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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.