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Finding the Third Proportional to 20,747 and 29,824

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Solution

The third proportional to 20,747 and 29,824 is: 42,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,747 : 29,824 = 29,824 : x
  2. Step 2: Convert to fraction form
    20,747/29,824 = 29,824/x
  3. Step 3: Cross multiply
    20,747x = 29,824 × 29,824
  4. Step 4: Simplify right side
    20,747x = 889,470,976
  5. Step 5: Solve for x
    x = 889,470,976/20,747
  6. Step 6: Final answer
    x = 42,872.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.