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Finding the Third Proportional to 12,608 and 27,398

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Solution

The third proportional to 12,608 and 27,398 is: 59,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608 : 27,398 = 27,398 : x
  2. Step 2: Convert to fraction form
    12,608/27,398 = 27,398/x
  3. Step 3: Cross multiply
    12,608x = 27,398 × 27,398
  4. Step 4: Simplify right side
    12,608x = 750,650,404
  5. Step 5: Solve for x
    x = 750,650,404/12,608
  6. Step 6: Final answer
    x = 59,537.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.