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Finding the Third Proportional to 33,156 and 51,414.75

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Solution

The third proportional to 33,156 and 51,414.75 is: 79,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156 : 51,414.75 = 51,414.75 : x
  2. Step 2: Convert to fraction form
    33,156/51,414.75 = 51,414.75/x
  3. Step 3: Cross multiply
    33,156x = 51,414.75 × 51,414.75
  4. Step 4: Simplify right side
    33,156x = 2,643,476,517.56
  5. Step 5: Solve for x
    x = 2,643,476,517.56/33,156
  6. Step 6: Final answer
    x = 79,728.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.