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Finding the Third Proportional to 20,377 and 31,171

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Solution

The third proportional to 20,377 and 31,171 is: 47,682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,377 : 31,171 = 31,171 : x
  2. Step 2: Convert to fraction form
    20,377/31,171 = 31,171/x
  3. Step 3: Cross multiply
    20,377x = 31,171 × 31,171
  4. Step 4: Simplify right side
    20,377x = 971,631,241
  5. Step 5: Solve for x
    x = 971,631,241/20,377
  6. Step 6: Final answer
    x = 47,682.74

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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.