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Finding the Third Proportional to 33,092 and 48,176

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Solution

The third proportional to 33,092 and 48,176 is: 70,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,092 : 48,176 = 48,176 : x
  2. Step 2: Convert to fraction form
    33,092/48,176 = 48,176/x
  3. Step 3: Cross multiply
    33,092x = 48,176 × 48,176
  4. Step 4: Simplify right side
    33,092x = 2,320,926,976
  5. Step 5: Solve for x
    x = 2,320,926,976/33,092
  6. Step 6: Final answer
    x = 70,135.59

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Why These Related Problems?

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