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Finding the Third Proportional to 33,322 and 72,476

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Solution

The third proportional to 33,322 and 72,476 is: 157,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,322 : 72,476 = 72,476 : x
  2. Step 2: Convert to fraction form
    33,322/72,476 = 72,476/x
  3. Step 3: Cross multiply
    33,322x = 72,476 × 72,476
  4. Step 4: Simplify right side
    33,322x = 5,252,770,576
  5. Step 5: Solve for x
    x = 5,252,770,576/33,322
  6. Step 6: Final answer
    x = 157,636.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.