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Finding the Third Proportional to 20,824 and 43,972

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Solution

The third proportional to 20,824 and 43,972 is: 92,851.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,824 : 43,972 = 43,972 : x
  2. Step 2: Convert to fraction form
    20,824/43,972 = 43,972/x
  3. Step 3: Cross multiply
    20,824x = 43,972 × 43,972
  4. Step 4: Simplify right side
    20,824x = 1,933,536,784
  5. Step 5: Solve for x
    x = 1,933,536,784/20,824
  6. Step 6: Final answer
    x = 92,851.36

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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.