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Finding the Third Proportional to 33,595 and 72,374

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Solution

The third proportional to 33,595 and 72,374 is: 155,915.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,595 : 72,374 = 72,374 : x
  2. Step 2: Convert to fraction form
    33,595/72,374 = 72,374/x
  3. Step 3: Cross multiply
    33,595x = 72,374 × 72,374
  4. Step 4: Simplify right side
    33,595x = 5,237,995,876
  5. Step 5: Solve for x
    x = 5,237,995,876/33,595
  6. Step 6: Final answer
    x = 155,915.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.