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Finding the Third Proportional to 3,966 and 6,516

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Solution

The third proportional to 3,966 and 6,516 is: 10,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966 : 6,516 = 6,516 : x
  2. Step 2: Convert to fraction form
    3,966/6,516 = 6,516/x
  3. Step 3: Cross multiply
    3,966x = 6,516 × 6,516
  4. Step 4: Simplify right side
    3,966x = 42,458,256
  5. Step 5: Solve for x
    x = 42,458,256/3,966
  6. Step 6: Final answer
    x = 10,705.56

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.