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Finding the Third Proportional to 20,772 and 33,021

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Solution

The third proportional to 20,772 and 33,021 is: 52,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,772 : 33,021 = 33,021 : x
  2. Step 2: Convert to fraction form
    20,772/33,021 = 33,021/x
  3. Step 3: Cross multiply
    20,772x = 33,021 × 33,021
  4. Step 4: Simplify right side
    20,772x = 1,090,386,441
  5. Step 5: Solve for x
    x = 1,090,386,441/20,772
  6. Step 6: Final answer
    x = 52,493.09

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1.5x scale

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.