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Finding the Third Proportional to 12,793 and 27,805

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Solution

The third proportional to 12,793 and 27,805 is: 60,432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793 : 27,805 = 27,805 : x
  2. Step 2: Convert to fraction form
    12,793/27,805 = 27,805/x
  3. Step 3: Cross multiply
    12,793x = 27,805 × 27,805
  4. Step 4: Simplify right side
    12,793x = 773,118,025
  5. Step 5: Solve for x
    x = 773,118,025/12,793
  6. Step 6: Final answer
    x = 60,432.89

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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.