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Finding the Third Proportional to 3,896 and 9,182

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Solution

The third proportional to 3,896 and 9,182 is: 21,639.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896 : 9,182 = 9,182 : x
  2. Step 2: Convert to fraction form
    3,896/9,182 = 9,182/x
  3. Step 3: Cross multiply
    3,896x = 9,182 × 9,182
  4. Step 4: Simplify right side
    3,896x = 84,309,124
  5. Step 5: Solve for x
    x = 84,309,124/3,896
  6. Step 6: Final answer
    x = 21,639.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.