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Finding the Third Proportional to 20,664 and 32,868

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Solution

The third proportional to 20,664 and 32,868 is: 52,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,664 : 32,868 = 32,868 : x
  2. Step 2: Convert to fraction form
    20,664/32,868 = 32,868/x
  3. Step 3: Cross multiply
    20,664x = 32,868 × 32,868
  4. Step 4: Simplify right side
    20,664x = 1,080,305,424
  5. Step 5: Solve for x
    x = 1,080,305,424/20,664
  6. Step 6: Final answer
    x = 52,279.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.