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Finding the Third Proportional to 13,788.56 and 18,145.69

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Solution

The third proportional to 13,788.56 and 18,145.69 is: 23,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.56 : 18,145.69 = 18,145.69 : x
  2. Step 2: Convert to fraction form
    13,788.56/18,145.69 = 18,145.69/x
  3. Step 3: Cross multiply
    13,788.56x = 18,145.69 × 18,145.69
  4. Step 4: Simplify right side
    13,788.56x = 329,265,974.85
  5. Step 5: Solve for x
    x = 329,265,974.85/13,788.56
  6. Step 6: Final answer
    x = 23,879.64

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.