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Finding the Third Proportional to 7,189 and 14,993

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Solution

The third proportional to 7,189 and 14,993 is: 31,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189 : 14,993 = 14,993 : x
  2. Step 2: Convert to fraction form
    7,189/14,993 = 14,993/x
  3. Step 3: Cross multiply
    7,189x = 14,993 × 14,993
  4. Step 4: Simplify right side
    7,189x = 224,790,049
  5. Step 5: Solve for x
    x = 224,790,049/7,189
  6. Step 6: Final answer
    x = 31,268.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.