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Finding the Third Proportional to 33,298 and 72,064

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Solution

The third proportional to 33,298 and 72,064 is: 155,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,298 : 72,064 = 72,064 : x
  2. Step 2: Convert to fraction form
    33,298/72,064 = 72,064/x
  3. Step 3: Cross multiply
    33,298x = 72,064 × 72,064
  4. Step 4: Simplify right side
    33,298x = 5,193,220,096
  5. Step 5: Solve for x
    x = 5,193,220,096/33,298
  6. Step 6: Final answer
    x = 155,961.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.