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Finding the Third Proportional to 12,823 and 27,047

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Solution

The third proportional to 12,823 and 27,047 is: 57,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823 : 27,047 = 27,047 : x
  2. Step 2: Convert to fraction form
    12,823/27,047 = 27,047/x
  3. Step 3: Cross multiply
    12,823x = 27,047 × 27,047
  4. Step 4: Simplify right side
    12,823x = 731,540,209
  5. Step 5: Solve for x
    x = 731,540,209/12,823
  6. Step 6: Final answer
    x = 57,049.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.