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Finding the Third Proportional to 21,464 and 33,164

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Solution

The third proportional to 21,464 and 33,164 is: 51,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,464 : 33,164 = 33,164 : x
  2. Step 2: Convert to fraction form
    21,464/33,164 = 33,164/x
  3. Step 3: Cross multiply
    21,464x = 33,164 × 33,164
  4. Step 4: Simplify right side
    21,464x = 1,099,850,896
  5. Step 5: Solve for x
    x = 1,099,850,896/21,464
  6. Step 6: Final answer
    x = 51,241.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.