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Finding the Third Proportional to 20,772 and 33,022

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Solution

The third proportional to 20,772 and 33,022 is: 52,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,772 : 33,022 = 33,022 : x
  2. Step 2: Convert to fraction form
    20,772/33,022 = 33,022/x
  3. Step 3: Cross multiply
    20,772x = 33,022 × 33,022
  4. Step 4: Simplify right side
    20,772x = 1,090,452,484
  5. Step 5: Solve for x
    x = 1,090,452,484/20,772
  6. Step 6: Final answer
    x = 52,496.27

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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.