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Finding the Third Proportional to 8,066 and 10,947

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Solution

The third proportional to 8,066 and 10,947 is: 14,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066 : 10,947 = 10,947 : x
  2. Step 2: Convert to fraction form
    8,066/10,947 = 10,947/x
  3. Step 3: Cross multiply
    8,066x = 10,947 × 10,947
  4. Step 4: Simplify right side
    8,066x = 119,836,809
  5. Step 5: Solve for x
    x = 119,836,809/8,066
  6. Step 6: Final answer
    x = 14,857.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.