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Finding the Third Proportional to 19,410.05 and 41,789.67

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Solution

The third proportional to 19,410.05 and 41,789.67 is: 89,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,410.05 : 41,789.67 = 41,789.67 : x
  2. Step 2: Convert to fraction form
    19,410.05/41,789.67 = 41,789.67/x
  3. Step 3: Cross multiply
    19,410.05x = 41,789.67 × 41,789.67
  4. Step 4: Simplify right side
    19,410.05x = 1,746,376,675.42
  5. Step 5: Solve for x
    x = 1,746,376,675.42/19,410.05
  6. Step 6: Final answer
    x = 89,972.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.