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Finding the Third Proportional to 11,746 and 17,149

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Solution

The third proportional to 11,746 and 17,149 is: 25,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746 : 17,149 = 17,149 : x
  2. Step 2: Convert to fraction form
    11,746/17,149 = 17,149/x
  3. Step 3: Cross multiply
    11,746x = 17,149 × 17,149
  4. Step 4: Simplify right side
    11,746x = 294,088,201
  5. Step 5: Solve for x
    x = 294,088,201/11,746
  6. Step 6: Final answer
    x = 25,037.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.