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Finding the Third Proportional to 33,275 and 48,361

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Solution

The third proportional to 33,275 and 48,361 is: 70,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,275 : 48,361 = 48,361 : x
  2. Step 2: Convert to fraction form
    33,275/48,361 = 48,361/x
  3. Step 3: Cross multiply
    33,275x = 48,361 × 48,361
  4. Step 4: Simplify right side
    33,275x = 2,338,786,321
  5. Step 5: Solve for x
    x = 2,338,786,321/33,275
  6. Step 6: Final answer
    x = 70,286.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.