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Finding the Third Proportional to 5,966 and 12,700

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Solution

The third proportional to 5,966 and 12,700 is: 27,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966 : 12,700 = 12,700 : x
  2. Step 2: Convert to fraction form
    5,966/12,700 = 12,700/x
  3. Step 3: Cross multiply
    5,966x = 12,700 × 12,700
  4. Step 4: Simplify right side
    5,966x = 161,290,000
  5. Step 5: Solve for x
    x = 161,290,000/5,966
  6. Step 6: Final answer
    x = 27,034.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.