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Finding the Third Proportional to 11,994.75 and 18,141.75

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Solution

The third proportional to 11,994.75 and 18,141.75 is: 27,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,994.75 : 18,141.75 = 18,141.75 : x
  2. Step 2: Convert to fraction form
    11,994.75/18,141.75 = 18,141.75/x
  3. Step 3: Cross multiply
    11,994.75x = 18,141.75 × 18,141.75
  4. Step 4: Simplify right side
    11,994.75x = 329,123,093.06
  5. Step 5: Solve for x
    x = 329,123,093.06/11,994.75
  6. Step 6: Final answer
    x = 27,438.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.