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Finding the Third Proportional to 19,970 and 33,282

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Solution

The third proportional to 19,970 and 33,282 is: 55,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970 : 33,282 = 33,282 : x
  2. Step 2: Convert to fraction form
    19,970/33,282 = 33,282/x
  3. Step 3: Cross multiply
    19,970x = 33,282 × 33,282
  4. Step 4: Simplify right side
    19,970x = 1,107,691,524
  5. Step 5: Solve for x
    x = 1,107,691,524/19,970
  6. Step 6: Final answer
    x = 55,467.78

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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.