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Finding the Third Proportional to 6,530 and 13,996

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Solution

The third proportional to 6,530 and 13,996 is: 29,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530 : 13,996 = 13,996 : x
  2. Step 2: Convert to fraction form
    6,530/13,996 = 13,996/x
  3. Step 3: Cross multiply
    6,530x = 13,996 × 13,996
  4. Step 4: Simplify right side
    6,530x = 195,888,016
  5. Step 5: Solve for x
    x = 195,888,016/6,530
  6. Step 6: Final answer
    x = 29,998.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.