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Finding the Third Proportional to 11,896.88 and 18,228.38

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Solution

The third proportional to 11,896.88 and 18,228.38 is: 27,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.88 : 18,228.38 = 18,228.38 : x
  2. Step 2: Convert to fraction form
    11,896.88/18,228.38 = 18,228.38/x
  3. Step 3: Cross multiply
    11,896.88x = 18,228.38 × 18,228.38
  4. Step 4: Simplify right side
    11,896.88x = 332,273,655.14
  5. Step 5: Solve for x
    x = 332,273,655.14/11,896.88
  6. Step 6: Final answer
    x = 27,929.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.