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Finding the Third Proportional to 33,601.50 and 72,387

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Solution

The third proportional to 33,601.50 and 72,387 is: 155,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,601.50 : 72,387 = 72,387 : x
  2. Step 2: Convert to fraction form
    33,601.50/72,387 = 72,387/x
  3. Step 3: Cross multiply
    33,601.50x = 72,387 × 72,387
  4. Step 4: Simplify right side
    33,601.50x = 5,239,877,769
  5. Step 5: Solve for x
    x = 5,239,877,769/33,601.50
  6. Step 6: Final answer
    x = 155,941.78

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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.