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Finding the Third Proportional to 2,669.68 and 3,982.45

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Solution

The third proportional to 2,669.68 and 3,982.45 is: 5,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.68 : 3,982.45 = 3,982.45 : x
  2. Step 2: Convert to fraction form
    2,669.68/3,982.45 = 3,982.45/x
  3. Step 3: Cross multiply
    2,669.68x = 3,982.45 × 3,982.45
  4. Step 4: Simplify right side
    2,669.68x = 15,859,886.22
  5. Step 5: Solve for x
    x = 15,859,886.22/2,669.68
  6. Step 6: Final answer
    x = 5,940.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.