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Finding the Third Proportional to 20,171 and 48,807

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Solution

The third proportional to 20,171 and 48,807 is: 118,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171 : 48,807 = 48,807 : x
  2. Step 2: Convert to fraction form
    20,171/48,807 = 48,807/x
  3. Step 3: Cross multiply
    20,171x = 48,807 × 48,807
  4. Step 4: Simplify right side
    20,171x = 2,382,123,249
  5. Step 5: Solve for x
    x = 2,382,123,249/20,171
  6. Step 6: Final answer
    x = 118,096.44

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.