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Finding the Third Proportional to 2,909 and 6,245

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Solution

The third proportional to 2,909 and 6,245 is: 13,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909 : 6,245 = 6,245 : x
  2. Step 2: Convert to fraction form
    2,909/6,245 = 6,245/x
  3. Step 3: Cross multiply
    2,909x = 6,245 × 6,245
  4. Step 4: Simplify right side
    2,909x = 39,000,025
  5. Step 5: Solve for x
    x = 39,000,025/2,909
  6. Step 6: Final answer
    x = 13,406.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.