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Finding the Third Proportional to 6,245 and 13,645

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Solution

The third proportional to 6,245 and 13,645 is: 29,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245 : 13,645 = 13,645 : x
  2. Step 2: Convert to fraction form
    6,245/13,645 = 13,645/x
  3. Step 3: Cross multiply
    6,245x = 13,645 × 13,645
  4. Step 4: Simplify right side
    6,245x = 186,186,025
  5. Step 5: Solve for x
    x = 186,186,025/6,245
  6. Step 6: Final answer
    x = 29,813.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.