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Finding the Third Proportional to 12,679 and 27,409

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Solution

The third proportional to 12,679 and 27,409 is: 59,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679 : 27,409 = 27,409 : x
  2. Step 2: Convert to fraction form
    12,679/27,409 = 27,409/x
  3. Step 3: Cross multiply
    12,679x = 27,409 × 27,409
  4. Step 4: Simplify right side
    12,679x = 751,253,281
  5. Step 5: Solve for x
    x = 751,253,281/12,679
  6. Step 6: Final answer
    x = 59,251.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.