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Finding the Third Proportional to 33,038 and 51,171

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Solution

The third proportional to 33,038 and 51,171 is: 79,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,038 : 51,171 = 51,171 : x
  2. Step 2: Convert to fraction form
    33,038/51,171 = 51,171/x
  3. Step 3: Cross multiply
    33,038x = 51,171 × 51,171
  4. Step 4: Simplify right side
    33,038x = 2,618,471,241
  5. Step 5: Solve for x
    x = 2,618,471,241/33,038
  6. Step 6: Final answer
    x = 79,256.35

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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.