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Finding the Third Proportional to 11,654 and 17,489

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Solution

The third proportional to 11,654 and 17,489 is: 26,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654 : 17,489 = 17,489 : x
  2. Step 2: Convert to fraction form
    11,654/17,489 = 17,489/x
  3. Step 3: Cross multiply
    11,654x = 17,489 × 17,489
  4. Step 4: Simplify right side
    11,654x = 305,865,121
  5. Step 5: Solve for x
    x = 305,865,121/11,654
  6. Step 6: Final answer
    x = 26,245.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.