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Finding the Third Proportional to 12,538 and 26,966

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Solution

The third proportional to 12,538 and 26,966 is: 57,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538 : 26,966 = 26,966 : x
  2. Step 2: Convert to fraction form
    12,538/26,966 = 26,966/x
  3. Step 3: Cross multiply
    12,538x = 26,966 × 26,966
  4. Step 4: Simplify right side
    12,538x = 727,165,156
  5. Step 5: Solve for x
    x = 727,165,156/12,538
  6. Step 6: Final answer
    x = 57,996.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.