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Finding the Third Proportional to 8,105 and 10,772

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Solution

The third proportional to 8,105 and 10,772 is: 14,316.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105 : 10,772 = 10,772 : x
  2. Step 2: Convert to fraction form
    8,105/10,772 = 10,772/x
  3. Step 3: Cross multiply
    8,105x = 10,772 × 10,772
  4. Step 4: Simplify right side
    8,105x = 116,035,984
  5. Step 5: Solve for x
    x = 116,035,984/8,105
  6. Step 6: Final answer
    x = 14,316.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.