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Finding the Third Proportional to 14,325 and 30,766

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Solution

The third proportional to 14,325 and 30,766 is: 66,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,325 : 30,766 = 30,766 : x
  2. Step 2: Convert to fraction form
    14,325/30,766 = 30,766/x
  3. Step 3: Cross multiply
    14,325x = 30,766 × 30,766
  4. Step 4: Simplify right side
    14,325x = 946,546,756
  5. Step 5: Solve for x
    x = 946,546,756/14,325
  6. Step 6: Final answer
    x = 66,076.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.