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Finding the Third Proportional to 13,900 and 20,847

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Solution

The third proportional to 13,900 and 20,847 is: 31,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900 : 20,847 = 20,847 : x
  2. Step 2: Convert to fraction form
    13,900/20,847 = 20,847/x
  3. Step 3: Cross multiply
    13,900x = 20,847 × 20,847
  4. Step 4: Simplify right side
    13,900x = 434,597,409
  5. Step 5: Solve for x
    x = 434,597,409/13,900
  6. Step 6: Final answer
    x = 31,266.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.