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Finding the Third Proportional to 12,734 and 27,418

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Solution

The third proportional to 12,734 and 27,418 is: 59,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734 : 27,418 = 27,418 : x
  2. Step 2: Convert to fraction form
    12,734/27,418 = 27,418/x
  3. Step 3: Cross multiply
    12,734x = 27,418 × 27,418
  4. Step 4: Simplify right side
    12,734x = 751,746,724
  5. Step 5: Solve for x
    x = 751,746,724/12,734
  6. Step 6: Final answer
    x = 59,034.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.