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Finding the Third Proportional to 33,390 and 50,926

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Solution

The third proportional to 33,390 and 50,926 is: 77,671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,390 : 50,926 = 50,926 : x
  2. Step 2: Convert to fraction form
    33,390/50,926 = 50,926/x
  3. Step 3: Cross multiply
    33,390x = 50,926 × 50,926
  4. Step 4: Simplify right side
    33,390x = 2,593,457,476
  5. Step 5: Solve for x
    x = 2,593,457,476/33,390
  6. Step 6: Final answer
    x = 77,671.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.