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Finding the Third Proportional to 10,114 and 11,966

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Solution

The third proportional to 10,114 and 11,966 is: 14,157.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114 : 11,966 = 11,966 : x
  2. Step 2: Convert to fraction form
    10,114/11,966 = 11,966/x
  3. Step 3: Cross multiply
    10,114x = 11,966 × 11,966
  4. Step 4: Simplify right side
    10,114x = 143,185,156
  5. Step 5: Solve for x
    x = 143,185,156/10,114
  6. Step 6: Final answer
    x = 14,157.12

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.