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Finding the Third Proportional to 19,971 and 33,285

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Solution

The third proportional to 19,971 and 33,285 is: 55,475

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,971 : 33,285 = 33,285 : x
  2. Step 2: Convert to fraction form
    19,971/33,285 = 33,285/x
  3. Step 3: Cross multiply
    19,971x = 33,285 × 33,285
  4. Step 4: Simplify right side
    19,971x = 1,107,891,225
  5. Step 5: Solve for x
    x = 1,107,891,225/19,971
  6. Step 6: Final answer
    x = 55,475

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.