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Finding the Third Proportional to 20,164 and 33,011

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Solution

The third proportional to 20,164 and 33,011 is: 54,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164 : 33,011 = 33,011 : x
  2. Step 2: Convert to fraction form
    20,164/33,011 = 33,011/x
  3. Step 3: Cross multiply
    20,164x = 33,011 × 33,011
  4. Step 4: Simplify right side
    20,164x = 1,089,726,121
  5. Step 5: Solve for x
    x = 1,089,726,121/20,164
  6. Step 6: Final answer
    x = 54,043.15

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.