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Finding the Third Proportional to 11,538 and 17,411

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Solution

The third proportional to 11,538 and 17,411 is: 26,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538 : 17,411 = 17,411 : x
  2. Step 2: Convert to fraction form
    11,538/17,411 = 17,411/x
  3. Step 3: Cross multiply
    11,538x = 17,411 × 17,411
  4. Step 4: Simplify right side
    11,538x = 303,142,921
  5. Step 5: Solve for x
    x = 303,142,921/11,538
  6. Step 6: Final answer
    x = 26,273.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.