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Finding the Third Proportional to 1,826.69 and 3,960.78

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Solution

The third proportional to 1,826.69 and 3,960.78 is: 8,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.69 : 3,960.78 = 3,960.78 : x
  2. Step 2: Convert to fraction form
    1,826.69/3,960.78 = 3,960.78/x
  3. Step 3: Cross multiply
    1,826.69x = 3,960.78 × 3,960.78
  4. Step 4: Simplify right side
    1,826.69x = 15,687,788.11
  5. Step 5: Solve for x
    x = 15,687,788.11/1,826.69
  6. Step 6: Final answer
    x = 8,588.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.