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Finding the Third Proportional to 20,016 and 30,808

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Solution

The third proportional to 20,016 and 30,808 is: 47,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,016 : 30,808 = 30,808 : x
  2. Step 2: Convert to fraction form
    20,016/30,808 = 30,808/x
  3. Step 3: Cross multiply
    20,016x = 30,808 × 30,808
  4. Step 4: Simplify right side
    20,016x = 949,132,864
  5. Step 5: Solve for x
    x = 949,132,864/20,016
  6. Step 6: Final answer
    x = 47,418.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.