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Finding the Third Proportional to 20,286 and 30,890

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Solution

The third proportional to 20,286 and 30,890 is: 47,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286 : 30,890 = 30,890 : x
  2. Step 2: Convert to fraction form
    20,286/30,890 = 30,890/x
  3. Step 3: Cross multiply
    20,286x = 30,890 × 30,890
  4. Step 4: Simplify right side
    20,286x = 954,192,100
  5. Step 5: Solve for x
    x = 954,192,100/20,286
  6. Step 6: Final answer
    x = 47,036.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.