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Finding the Third Proportional to 8,778 and 20,984

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Solution

The third proportional to 8,778 and 20,984 is: 50,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,778 : 20,984 = 20,984 : x
  2. Step 2: Convert to fraction form
    8,778/20,984 = 20,984/x
  3. Step 3: Cross multiply
    8,778x = 20,984 × 20,984
  4. Step 4: Simplify right side
    8,778x = 440,328,256
  5. Step 5: Solve for x
    x = 440,328,256/8,778
  6. Step 6: Final answer
    x = 50,162.71

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.