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Finding the Third Proportional to 12,093 and 17,909

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Solution

The third proportional to 12,093 and 17,909 is: 26,522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093 : 17,909 = 17,909 : x
  2. Step 2: Convert to fraction form
    12,093/17,909 = 17,909/x
  3. Step 3: Cross multiply
    12,093x = 17,909 × 17,909
  4. Step 4: Simplify right side
    12,093x = 320,732,281
  5. Step 5: Solve for x
    x = 320,732,281/12,093
  6. Step 6: Final answer
    x = 26,522.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.