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Finding the Third Proportional to 12,827 and 27,841

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Solution

The third proportional to 12,827 and 27,841 is: 60,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827 : 27,841 = 27,841 : x
  2. Step 2: Convert to fraction form
    12,827/27,841 = 27,841/x
  3. Step 3: Cross multiply
    12,827x = 27,841 × 27,841
  4. Step 4: Simplify right side
    12,827x = 775,121,281
  5. Step 5: Solve for x
    x = 775,121,281/12,827
  6. Step 6: Final answer
    x = 60,428.88

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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.