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Finding the Third Proportional to 10,722 and 12,900

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Solution

The third proportional to 10,722 and 12,900 is: 15,520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722 : 12,900 = 12,900 : x
  2. Step 2: Convert to fraction form
    10,722/12,900 = 12,900/x
  3. Step 3: Cross multiply
    10,722x = 12,900 × 12,900
  4. Step 4: Simplify right side
    10,722x = 166,410,000
  5. Step 5: Solve for x
    x = 166,410,000/10,722
  6. Step 6: Final answer
    x = 15,520.43

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.