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Finding the Third Proportional to 1,325.81 and 1,992.94

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Solution

The third proportional to 1,325.81 and 1,992.94 is: 2,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.81 : 1,992.94 = 1,992.94 : x
  2. Step 2: Convert to fraction form
    1,325.81/1,992.94 = 1,992.94/x
  3. Step 3: Cross multiply
    1,325.81x = 1,992.94 × 1,992.94
  4. Step 4: Simplify right side
    1,325.81x = 3,971,799.88
  5. Step 5: Solve for x
    x = 3,971,799.88/1,325.81
  6. Step 6: Final answer
    x = 2,995.75

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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.