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Finding the Third Proportional to 6,247 and 13,751

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Solution

The third proportional to 6,247 and 13,751 is: 30,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,247 : 13,751 = 13,751 : x
  2. Step 2: Convert to fraction form
    6,247/13,751 = 13,751/x
  3. Step 3: Cross multiply
    6,247x = 13,751 × 13,751
  4. Step 4: Simplify right side
    6,247x = 189,090,001
  5. Step 5: Solve for x
    x = 189,090,001/6,247
  6. Step 6: Final answer
    x = 30,268.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.