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Finding the Third Proportional to 20,448 and 41,772

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Solution

The third proportional to 20,448 and 41,772 is: 85,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448 : 41,772 = 41,772 : x
  2. Step 2: Convert to fraction form
    20,448/41,772 = 41,772/x
  3. Step 3: Cross multiply
    20,448x = 41,772 × 41,772
  4. Step 4: Simplify right side
    20,448x = 1,744,899,984
  5. Step 5: Solve for x
    x = 1,744,899,984/20,448
  6. Step 6: Final answer
    x = 85,333.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.