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Finding the Third Proportional to 9,966 and 12,957

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Solution

The third proportional to 9,966 and 12,957 is: 16,845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966 : 12,957 = 12,957 : x
  2. Step 2: Convert to fraction form
    9,966/12,957 = 12,957/x
  3. Step 3: Cross multiply
    9,966x = 12,957 × 12,957
  4. Step 4: Simplify right side
    9,966x = 167,883,849
  5. Step 5: Solve for x
    x = 167,883,849/9,966
  6. Step 6: Final answer
    x = 16,845.66

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.