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Finding the Third Proportional to 11,268.75 and 17,676.75

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Solution

The third proportional to 11,268.75 and 17,676.75 is: 27,728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,268.75 : 17,676.75 = 17,676.75 : x
  2. Step 2: Convert to fraction form
    11,268.75/17,676.75 = 17,676.75/x
  3. Step 3: Cross multiply
    11,268.75x = 17,676.75 × 17,676.75
  4. Step 4: Simplify right side
    11,268.75x = 312,467,490.56
  5. Step 5: Solve for x
    x = 312,467,490.56/11,268.75
  6. Step 6: Final answer
    x = 27,728.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.