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Finding the Third Proportional to 7,966 and 11,141.75

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Solution

The third proportional to 7,966 and 11,141.75 is: 15,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966 : 11,141.75 = 11,141.75 : x
  2. Step 2: Convert to fraction form
    7,966/11,141.75 = 11,141.75/x
  3. Step 3: Cross multiply
    7,966x = 11,141.75 × 11,141.75
  4. Step 4: Simplify right side
    7,966x = 124,138,593.06
  5. Step 5: Solve for x
    x = 124,138,593.06/7,966
  6. Step 6: Final answer
    x = 15,583.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.