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Finding the Third Proportional to 20,784 and 43,872

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Solution

The third proportional to 20,784 and 43,872 is: 92,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784 : 43,872 = 43,872 : x
  2. Step 2: Convert to fraction form
    20,784/43,872 = 43,872/x
  3. Step 3: Cross multiply
    20,784x = 43,872 × 43,872
  4. Step 4: Simplify right side
    20,784x = 1,924,752,384
  5. Step 5: Solve for x
    x = 1,924,752,384/20,784
  6. Step 6: Final answer
    x = 92,607.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.