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Finding the Third Proportional to 21,369 and 33,173

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Solution

The third proportional to 21,369 and 33,173 is: 51,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,369 : 33,173 = 33,173 : x
  2. Step 2: Convert to fraction form
    21,369/33,173 = 33,173/x
  3. Step 3: Cross multiply
    21,369x = 33,173 × 33,173
  4. Step 4: Simplify right side
    21,369x = 1,100,447,929
  5. Step 5: Solve for x
    x = 1,100,447,929/21,369
  6. Step 6: Final answer
    x = 51,497.40

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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.