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Finding the Third Proportional to 10,949 and 16,745

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Solution

The third proportional to 10,949 and 16,745 is: 25,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949 : 16,745 = 16,745 : x
  2. Step 2: Convert to fraction form
    10,949/16,745 = 16,745/x
  3. Step 3: Cross multiply
    10,949x = 16,745 × 16,745
  4. Step 4: Simplify right side
    10,949x = 280,395,025
  5. Step 5: Solve for x
    x = 280,395,025/10,949
  6. Step 6: Final answer
    x = 25,609.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.