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Finding the Third Proportional to 11,796 and 15,966

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Solution

The third proportional to 11,796 and 15,966 is: 21,610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796 : 15,966 = 15,966 : x
  2. Step 2: Convert to fraction form
    11,796/15,966 = 15,966/x
  3. Step 3: Cross multiply
    11,796x = 15,966 × 15,966
  4. Step 4: Simplify right side
    11,796x = 254,913,156
  5. Step 5: Solve for x
    x = 254,913,156/11,796
  6. Step 6: Final answer
    x = 21,610.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.