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Finding the Third Proportional to 12,839 and 27,415

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Solution

The third proportional to 12,839 and 27,415 is: 58,539.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839 : 27,415 = 27,415 : x
  2. Step 2: Convert to fraction form
    12,839/27,415 = 27,415/x
  3. Step 3: Cross multiply
    12,839x = 27,415 × 27,415
  4. Step 4: Simplify right side
    12,839x = 751,582,225
  5. Step 5: Solve for x
    x = 751,582,225/12,839
  6. Step 6: Final answer
    x = 58,539.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.