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Finding the Third Proportional to 12,969 and 27,231

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Solution

The third proportional to 12,969 and 27,231 is: 57,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969 : 27,231 = 27,231 : x
  2. Step 2: Convert to fraction form
    12,969/27,231 = 27,231/x
  3. Step 3: Cross multiply
    12,969x = 27,231 × 27,231
  4. Step 4: Simplify right side
    12,969x = 741,527,361
  5. Step 5: Solve for x
    x = 741,527,361/12,969
  6. Step 6: Final answer
    x = 57,176.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.