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Finding the Third Proportional to 12,806 and 27,800

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Solution

The third proportional to 12,806 and 27,800 is: 60,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806 : 27,800 = 27,800 : x
  2. Step 2: Convert to fraction form
    12,806/27,800 = 27,800/x
  3. Step 3: Cross multiply
    12,806x = 27,800 × 27,800
  4. Step 4: Simplify right side
    12,806x = 772,840,000
  5. Step 5: Solve for x
    x = 772,840,000/12,806
  6. Step 6: Final answer
    x = 60,349.84

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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.