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Finding the Third Proportional to 11,725 and 17,274

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Solution

The third proportional to 11,725 and 17,274 is: 25,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725 : 17,274 = 17,274 : x
  2. Step 2: Convert to fraction form
    11,725/17,274 = 17,274/x
  3. Step 3: Cross multiply
    11,725x = 17,274 × 17,274
  4. Step 4: Simplify right side
    11,725x = 298,391,076
  5. Step 5: Solve for x
    x = 298,391,076/11,725
  6. Step 6: Final answer
    x = 25,449.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.