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Finding the Third Proportional to 2,664.19 and 3,996.38

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Solution

The third proportional to 2,664.19 and 3,996.38 is: 5,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.19 : 3,996.38 = 3,996.38 : x
  2. Step 2: Convert to fraction form
    2,664.19/3,996.38 = 3,996.38/x
  3. Step 3: Cross multiply
    2,664.19x = 3,996.38 × 3,996.38
  4. Step 4: Simplify right side
    2,664.19x = 15,971,013.14
  5. Step 5: Solve for x
    x = 15,971,013.14/2,664.19
  6. Step 6: Final answer
    x = 5,994.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.