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Finding the Third Proportional to 33,692 and 49,310

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Solution

The third proportional to 33,692 and 49,310 is: 72,167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,692 : 49,310 = 49,310 : x
  2. Step 2: Convert to fraction form
    33,692/49,310 = 49,310/x
  3. Step 3: Cross multiply
    33,692x = 49,310 × 49,310
  4. Step 4: Simplify right side
    33,692x = 2,431,476,100
  5. Step 5: Solve for x
    x = 2,431,476,100/33,692
  6. Step 6: Final answer
    x = 72,167.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.